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160381056 = 2731143883
BaseRepresentation
bin10011000111100…
…11100010000000
3102011210012110010
421203303202000
5312024143211
623525304520
73655134153
oct1143634200
9364705403
10160381056
1182592730
1245865140
13272c5044
141742bc9a
15e1304a6
hex98f3880

160381056 has 128 divisors (see below), whose sum is σ = 476087040. Its totient is φ = 47416320.

The previous prime is 160381037. The next prime is 160381063. The reversal of 160381056 is 650183061.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181191 + ... + 182073.

It is an arithmetic number, because the mean of its divisors is an integer number (3719430).

Almost surely, 2160381056 is an apocalyptic number.

160381056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160381056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238043520).

160381056 is an abundant number, since it is smaller than the sum of its proper divisors (315705984).

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

160381056 is a wasteful number, since it uses less digits than its factorization.

160381056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 160381056 is about 12664.1642440392. The cubic root of 160381056 is about 543.3141587656.

The spelling of 160381056 in words is "one hundred sixty million, three hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 258 264 344 352 384 473 516 528 688 704 883 946 1032 1056 1376 1408 1419 1766 1892 2064 2112 2649 2752 2838 3532 3784 4128 4224 5298 5504 5676 7064 7568 8256 9713 10596 11352 14128 15136 16512 19426 21192 22704 28256 29139 30272 37969 38852 42384 45408 56512 58278 60544 75938 77704 84768 90816 113024 113907 116556 151876 155408 169536 181632 227814 233112 303752 310816 339072 417659 455628 466224 607504 621632 835318 911256 932448 1215008 1243264 1252977 1670636 1822512 1864896 2430016 2505954 3341272 3645024 3729792 4860032 5011908 6682544 7290048 10023816 13365088 14580096 20047632 26730176 40095264 53460352 80190528 160381056