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1074125712 = 243112792341
BaseRepresentation
bin100000000000101…
…1101101110010000
32202212011020110210
41000001131232100
54144434010322
6254330124120
735421626562
oct10001355620
92685136423
101074125712
11501352600
1225b880640
131416c185a
14a2925332
156447470c
hex4005db90

1074125712 has 120 divisors (see below), whose sum is σ = 3089941120. Its totient is φ = 321235200.

The previous prime is 1074125711. The next prime is 1074125729. The reversal of 1074125712 is 2175214701.

It is a self number, because there is not a number n which added to its sum of digits gives 1074125712.

It is not an unprimeable number, because it can be changed into a prime (1074125711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457662 + ... + 460002.

Almost surely, 21074125712 is an apocalyptic number.

1074125712 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 1074125712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544970560).

1074125712 is an abundant number, since it is smaller than the sum of its proper divisors (2015815408).

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

1074125712 is a wasteful number, since it uses less digits than its factorization.

1074125712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 1074125712 is about 32773.8571425458. The cubic root of 1074125712 is about 1024.1220201681.

The spelling of 1074125712 in words is "one billion, seventy-four million, one hundred twenty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 121 132 158 176 237 242 264 316 363 474 484 528 632 726 869 948 968 1264 1452 1738 1896 1936 2341 2607 2904 3476 3792 4682 5214 5808 6952 7023 9364 9559 10428 13904 14046 18728 19118 20856 25751 28092 28677 37456 38236 41712 51502 56184 57354 76472 77253 103004 112368 114708 152944 154506 184939 206008 229416 283261 309012 369878 412016 458832 554817 566522 618024 739756 849783 1109634 1133044 1236048 1479512 1699566 2034329 2219268 2266088 2959024 3399132 4068658 4438536 4532176 6102987 6798264 8137316 8877072 12205974 13596528 16274632 22377619 24411948 32549264 44755238 48823896 67132857 89510476 97647792 134265714 179020952 268531428 358041904 537062856 1074125712