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1157006660 = 2251092691973
BaseRepresentation
bin100010011110110…
…1000010101000100
32222122010000202112
41010331220111010
54332143203120
6310450400152
740446252155
oct10475502504
92878100675
101157006660
11544111257
12283590058
13155920334
14ad93b92c
156b896bc5
hex44f68544

1157006660 has 48 divisors (see below), whose sum is σ = 2462367600. Its totient is φ = 456620544.

The previous prime is 1157006659. The next prime is 1157006693. The reversal of 1157006660 is 666007511.

It can be written as a sum of positive squares in 8 ways, for example, as 162613504 + 994393156 = 12752^2 + 31534^2 .

It is a super-2 number, since 2×11570066602 = 2677328822568711200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585434 + ... + 587406.

It is an arithmetic number, because the mean of its divisors is an integer number (51299325).

Almost surely, 21157006660 is an apocalyptic number.

1157006660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157006660 is an abundant number, since it is smaller than the sum of its proper divisors (1305360940).

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

1157006660 is a wasteful number, since it uses less digits than its factorization.

1157006660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1157006660 is about 34014.8006020908. The cubic root of 1157006660 is about 1049.8130158346.

The spelling of 1157006660 in words is "one billion, one hundred fifty-seven million, six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 109 218 269 436 538 545 1076 1090 1345 1973 2180 2690 3946 5380 7892 9865 19730 29321 39460 58642 117284 146605 215057 293210 430114 530737 586420 860228 1061474 1075285 2122948 2150570 2653685 4301140 5307370 10614740 57850333 115700666 231401332 289251665 578503330 1157006660