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57409680 = 24351714071
BaseRepresentation
bin1101101100000…
…0000010010000
311000000201021110
43123000002100
5104144102210
65410253320
71264655106
oct333000220
9130021243
1057409680
112a451819
1217287240
13bb80c33
1478a5c76
155090420
hex36c0090

57409680 has 80 divisors (see below), whose sum is σ = 188452224. Its totient is φ = 14407680.

The previous prime is 57409669. The next prime is 57409691. The reversal of 57409680 is 8690475.

It is an interprime number because it is at equal distance from previous prime (57409669) and next prime (57409691).

It is a tau number, because it is divible by the number of its divisors (80).

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, 2956 + ... + 11115.

Almost surely, 257409680 is an apocalyptic number.

It is an amenable number.

57409680 is an abundant number, since it is smaller than the sum of its proper divisors (131042544).

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

57409680 is a wasteful number, since it uses less digits than its factorization.

57409680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14104 (or 14098 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 57409680 is about 7576.9175790687. The cubic root of 57409680 is about 385.7699327905.

The spelling of 57409680 in words is "fifty-seven million, four hundred nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 14071 28142 42213 56284 70355 84426 112568 140710 168852 211065 225136 239207 281420 337704 422130 478414 562840 675408 717621 844260 956828 1125680 1196035 1435242 1688520 1913656 2392070 2870484 3377040 3588105 3827312 4784140 5740968 7176210 9568280 11481936 14352420 19136560 28704840 57409680