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1157131840 = 26523157219
BaseRepresentation
bin100010011111000…
…0110111001000000
32222122100101110211
41010332012321000
54332211204330
6310453203504
740450313134
oct10476067100
92878311424
101157131840
11544197307
12283630594
131559652c7
14ad9713c4
156b8bdd2a
hex44f86e40

1157131840 has 56 divisors (see below), whose sum is σ = 2875239360. Its totient is φ = 442725888.

The previous prime is 1157131831. The next prime is 1157131853. The reversal of 1157131840 is 481317511.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 71250 + ... + 85969.

It is an arithmetic number, because the mean of its divisors is an integer number (51343560).

Almost surely, 21157131840 is an apocalyptic number.

1157131840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157131840 is an abundant number, since it is smaller than the sum of its proper divisors (1718107520).

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

1157131840 is a wasteful number, since it uses less digits than its factorization.

1157131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157259 (or 157249 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The square root of 1157131840 is about 34016.6406336663. The cubic root of 1157131840 is about 1049.8508752692.

The spelling of 1157131840 in words is "one billion, one hundred fifty-seven million, one hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 157219 314438 628876 786095 1257752 1572190 2515504 3144380 3616037 5031008 6288760 7232074 10062016 12577520 14464148 18080185 25155040 28928296 36160370 50310080 57856592 72320740 115713184 144641480 231426368 289282960 578565920 1157131840