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1157669904 = 243200312041
BaseRepresentation
bin100010100000000…
…1010010000010000
32222200100201120010
41011000022100100
54332330414104
6310512514520
740455013626
oct10500122020
92880321503
101157669904
11544524596
1228384ba40
13155ac31a1
14ada71516
156b978489
hex4500a410

1157669904 has 40 divisors (see below), whose sum is σ = 2992388832. Its totient is φ = 385665280.

The previous prime is 1157669881. The next prime is 1157669911. The reversal of 1157669904 is 4099667511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90124 + ... + 102164.

Almost surely, 21157669904 is an apocalyptic number.

It is an amenable number.

1157669904 is an abundant number, since it is smaller than the sum of its proper divisors (1834718928).

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

1157669904 is a wasteful number, since it uses less digits than its factorization.

1157669904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14055 (or 14049 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 1157669904 is about 34024.5485495399. The cubic root of 1157669904 is about 1050.0135762417.

It can be divided in two parts, 1157 and 669904, that added together give a triangular number (671061 = T1158).

The spelling of 1157669904 in words is "one billion, one hundred fifty-seven million, six hundred sixty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 2003 4006 6009 8012 12018 12041 16024 24036 24082 32048 36123 48072 48164 72246 96144 96328 144492 192656 288984 577968 24118123 48236246 72354369 96472492 144708738 192944984 289417476 385889968 578834952 1157669904