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163020096 = 2632733877
BaseRepresentation
bin10011011011101…
…11110101000000
3102100202021112100
421231313311000
5313213120341
624102030400
74016435151
oct1155676500
9370667470
10163020096
1184025458
1246718400
1327a0a2c5
1417917928
15e4a23b6
hex9b77d40

163020096 has 84 divisors (see below), whose sum is σ = 473790772. Its totient is φ = 53581824.

The previous prime is 163020083. The next prime is 163020101. The reversal of 163020096 is 690020361.

It is a happy number.

163020096 is a `hidden beast` number, since 1 + 630 + 20 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66194496 + 96825600 = 8136^2 + 9840^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40110 + ... + 43986.

Almost surely, 2163020096 is an apocalyptic number.

163020096 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 163020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236895386).

163020096 is an abundant number, since it is smaller than the sum of its proper divisors (310770676).

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

163020096 is a wasteful number, since it uses less digits than its factorization.

163020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968 (or 3955 counting only the distinct ones).

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

The square root of 163020096 is about 12767.9323306477. The cubic root of 163020096 is about 546.2780051866.

The spelling of 163020096 in words is "one hundred sixty-three million, twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 576 584 657 876 1168 1314 1752 2336 2628 3504 3877 4672 5256 7008 7754 10512 11631 14016 15508 21024 23262 31016 34893 42048 46524 62032 69786 93048 124064 139572 186096 248128 279144 283021 372192 558288 566042 744384 849063 1116576 1132084 1698126 2233152 2264168 2547189 3396252 4528336 5094378 6792504 9056672 10188756 13585008 18113344 20377512 27170016 40755024 54340032 81510048 163020096