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163020960 = 25325113209
BaseRepresentation
bin10011011011110…
…00000010100000
3102100202022201100
421231320002200
5313213132320
624102034400
74016440524
oct1155700240
9370668640
10163020960
1184026073
1246718a00
1327a0a80b
1417917d84
15e4a2790
hex9b780a0

163020960 has 72 divisors (see below), whose sum is σ = 556313940. Its totient is φ = 43471872.

The previous prime is 163020937. The next prime is 163020989. The reversal of 163020960 is 69020361.

It is a happy number.

163020960 is a `hidden beast` number, since 1 + 630 + 20 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161493264 + 1527696 = 12708^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 55165 + ... + 58044.

Almost surely, 2163020960 is an apocalyptic number.

163020960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

163020960 is an abundant number, since it is smaller than the sum of its proper divisors (393292980).

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

163020960 is a wasteful number, since it uses less digits than its factorization.

163020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113230 (or 113219 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 163020960 is about 12767.9661653687. The cubic root of 163020960 is about 546.2789702687.

The spelling of 163020960 in words is "one hundred sixty-three million, twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 113209 226418 339627 452836 566045 679254 905672 1018881 1132090 1358508 1698135 1811344 2037762 2264180 2717016 3396270 3622688 4075524 4528360 5094405 5434032 6792540 8151048 9056720 10188810 10868064 13585080 16302096 18113440 20377620 27170160 32604192 40755240 54340320 81510480 163020960