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1072134792 = 23343797461
BaseRepresentation
bin111111111001110…
…111101010001000
32202201102002110000
4333321313222020
54143431303132
6254215323000
735365665261
oct7771675210
92681362400
101072134792
11500212813
1225b080460
131411755b1
14a2567968
15641ce87c
hex3fe77a88

1072134792 has 160 divisors (see below), whose sum is σ = 3122685720. Its totient is φ = 343388160.

The previous prime is 1072134787. The next prime is 1072134797. The reversal of 1072134792 is 2974312701.

It is an interprime number because it is at equal distance from previous prime (1072134787) and next prime (1072134797).

It can be written as a sum of positive squares in 4 ways, for example, as 988850916 + 83283876 = 31446^2 + 9126^2 .

It is a super-2 number, since 2×10721347922 = 2298946024433766528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1072134797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2325442 + ... + 2325902.

Almost surely, 21072134792 is an apocalyptic number.

1072134792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072134792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561342860).

1072134792 is an abundant number, since it is smaller than the sum of its proper divisors (2050550928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1072134792 is a wasteful number, since it uses less digits than its factorization.

1072134792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1072134792 is about 32743.4694557556. The cubic root of 1072134792 is about 1023.4888832102.

The spelling of 1072134792 in words is "one billion, seventy-two million, one hundred thirty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 97 108 111 148 162 194 216 222 291 296 324 333 388 444 461 582 648 666 776 873 888 922 999 1164 1332 1383 1746 1844 1998 2328 2619 2664 2766 2997 3492 3589 3688 3996 4149 5238 5532 5994 6984 7178 7857 7992 8298 10476 10767 11064 11988 12447 14356 15714 16596 17057 20952 21534 23976 24894 28712 31428 32301 33192 34114 37341 43068 44717 49788 51171 62856 64602 68228 74682 86136 89434 96903 99576 102342 129204 134151 136456 149364 153513 178868 193806 204684 258408 268302 290709 298728 307026 357736 387612 402453 409368 460539 536604 581418 614052 775224 804906 921078 1073208 1162836 1207359 1228104 1381617 1609812 1654529 1842156 2325672 2414718 2763234 3219624 3309058 3622077 3684312 4829436 4963587 5526468 6618116 7244154 9658872 9927174 11052936 13236232 14488308 14890761 19854348 28976616 29781522 39708696 44672283 59563044 89344566 119126088 134016849 178689132 268033698 357378264 536067396 1072134792