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380127672 = 233225720543
BaseRepresentation
bin10110101010000…
…100100110111000
3222111021111010200
4112222010212320
51234303041142
6101415242200
712264013641
oct2652044670
9874244120
10380127672
11185632601
12a7379360
13609a4322
14386b06c8
152358a64c
hex16a849b8

380127672 has 48 divisors (see below), whose sum is σ = 1033568640. Its totient is φ = 126210048.

The previous prime is 380127641. The next prime is 380127691. The reversal of 380127672 is 276721083.

380127672 is a `hidden beast` number, since 380 + 1 + 276 + 7 + 2 = 666.

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

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 8233 + ... + 28775.

It is an arithmetic number, because the mean of its divisors is an integer number (21532680).

Almost surely, 2380127672 is an apocalyptic number.

It is an amenable number.

380127672 is an abundant number, since it is smaller than the sum of its proper divisors (653440968).

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

380127672 is a wasteful number, since it uses less digits than its factorization.

380127672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20812 (or 20805 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 380127672 is about 19496.8631323093. The cubic root of 380127672 is about 724.3967535304.

The spelling of 380127672 in words is "three hundred eighty million, one hundred twenty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 257 514 771 1028 1542 2056 2313 3084 4626 6168 9252 18504 20543 41086 61629 82172 123258 164344 184887 246516 369774 493032 739548 1479096 5279551 10559102 15838653 21118204 31677306 42236408 47515959 63354612 95031918 126709224 190063836 380127672