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1066425504 = 253172832309
BaseRepresentation
bin111111100100000…
…101110010100000
32202022200000202220
4333210011302200
54141001104004
6253453111040
735266316154
oct7744056240
92668600686
101066425504
114a7a732a1
12259188480
1313cc26a11
14a18bd064
1563952dd9
hex3f905ca0

1066425504 has 96 divisors (see below), whose sum is σ = 2975797440. Its totient is φ = 333238272.

The previous prime is 1066425491. The next prime is 1066425511. The reversal of 1066425504 is 4055246601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10664255042 = 2274526711163308032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460702 + ... + 463010.

It is an arithmetic number, because the mean of its divisors is an integer number (30997890).

Almost surely, 21066425504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066425504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487898720).

1066425504 is an abundant number, since it is smaller than the sum of its proper divisors (1909371936).

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

1066425504 is a wasteful number, since it uses less digits than its factorization.

1066425504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1066425504 is about 32656.1709941628. The cubic root of 1066425504 is about 1021.6689018766.

The spelling of 1066425504 in words is "one billion, sixty-six million, four hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 283 408 544 566 816 849 1132 1632 1698 2264 2309 3396 4528 4618 4811 6792 6927 9056 9236 9622 13584 13854 14433 18472 19244 27168 27708 28866 36944 38488 39253 55416 57732 73888 76976 78506 110832 115464 117759 153952 157012 221664 230928 235518 314024 461856 471036 628048 653447 942072 1256096 1306894 1884144 1960341 2613788 3768288 3920682 5227576 7841364 10455152 11108599 15682728 20910304 22217198 31365456 33325797 44434396 62730912 66651594 88868792 133303188 177737584 266606376 355475168 533212752 1066425504