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1350057672 = 23337198693
BaseRepresentation
bin101000001111000…
…0011111011001000
310111002101000222000
41100132003323020
510231103321142
6341544231000
745312205125
oct12036037310
93432330860
101350057672
11633088347
1231816b460
131869136c2
14cb43174c
157d7cc14c
hex50783ec8

1350057672 has 64 divisors (see below), whose sum is σ = 3755808000. Its totient is φ = 449341632.

The previous prime is 1350057649. The next prime is 1350057691. The reversal of 1350057672 is 2767500531.

1350057672 is a `hidden beast` number, since 13 + 5 + 0 + 0 + 576 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 150958 + ... + 159650.

It is an arithmetic number, because the mean of its divisors is an integer number (58684500).

Almost surely, 21350057672 is an apocalyptic number.

1350057672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1350057672 is an abundant number, since it is smaller than the sum of its proper divisors (2405750328).

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

1350057672 is a wasteful number, since it uses less digits than its factorization.

1350057672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9427 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 1350057672 is about 36743.1309498796. The cubic root of 1350057672 is about 1105.2251875506.

The spelling of 1350057672 in words is "one billion, three hundred fifty million, fifty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 719 1438 2157 2876 4314 5752 6471 8628 8693 12942 17256 17386 19413 25884 26079 34772 38826 51768 52158 69544 77652 78237 104316 155304 156474 208632 234711 312948 469422 625896 938844 1877688 6250267 12500534 18750801 25001068 37501602 50002136 56252403 75003204 112504806 150006408 168757209 225009612 337514418 450019224 675028836 1350057672