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1067134992 = 2437111791613
BaseRepresentation
bin111111100110110…
…011000000010000
32202101000002000020
4333212303000100
54141141304432
6253520223440
735305332510
oct7746630020
92671002006
101067134992
114a8408350
1225946ab80
13140114931
14a1a25840
1563a4322c
hex3f9b3010

1067134992 has 160 divisors (see below), whose sum is σ = 3458350080. Its totient is φ = 275458560.

The previous prime is 1067134973. The next prime is 1067134997. The reversal of 1067134992 is 2994317601.

It is a super-2 number, since 2×10671349922 = 2277554182301680128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1067134997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660778 + ... + 662390.

It is an arithmetic number, because the mean of its divisors is an integer number (21614688).

Almost surely, 21067134992 is an apocalyptic number.

1067134992 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 1067134992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729175040).

1067134992 is an abundant number, since it is smaller than the sum of its proper divisors (2391215088).

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

1067134992 is a wasteful number, since it uses less digits than its factorization.

1067134992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 1067134992 is about 32667.0321884312. The cubic root of 1067134992 is about 1021.8954221956.

The spelling of 1067134992 in words is "one billion, sixty-seven million, one hundred thirty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 179 231 264 308 336 358 462 528 537 616 716 924 1074 1232 1253 1432 1613 1848 1969 2148 2506 2864 3226 3696 3759 3938 4296 4839 5012 5907 6452 7518 7876 8592 9678 10024 11291 11814 12904 13783 15036 15752 17743 19356 20048 22582 23628 25808 27566 30072 31504 33873 35486 38712 41349 45164 47256 53229 55132 60144 67746 70972 77424 82698 90328 94512 106458 110264 124201 135492 141944 165396 180656 212916 220528 248402 270984 283888 288727 330792 372603 425832 496804 541968 577454 661584 745206 851664 866181 993608 1154908 1490412 1732362 1987216 2021089 2309816 2980824 3175997 3464724 4042178 4619632 5961648 6063267 6351994 6929448 8084356 9527991 12126534 12703988 13858896 16168712 19055982 22231979 24253068 25407976 32337424 38111964 44463958 48506136 50815952 66695937 76223928 88927916 97012272 133391874 152447856 177855832 266783748 355711664 533567496 1067134992