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163090872 = 233271512143
BaseRepresentation
bin10011011100010…
…01000110111000
3102100212212121200
421232021012320
5313222401442
624103334200
74020151410
oct1156110670
9370785550
10163090872
118407364a
1246751360
1327a33599
1417935640
15e4b834c
hex9b891b8

163090872 has 96 divisors (see below), whose sum is σ = 508385280. Its totient is φ = 46267200.

The previous prime is 163090859. The next prime is 163090883. The reversal of 163090872 is 278090361.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 75033 + ... + 77175.

It is an arithmetic number, because the mean of its divisors is an integer number (5295680).

Almost surely, 2163090872 is an apocalyptic number.

163090872 is a gapful number since it is divisible by the number (12) 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 163090872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254192640).

163090872 is an abundant number, since it is smaller than the sum of its proper divisors (345294408).

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

163090872 is a wasteful number, since it uses less digits than its factorization.

163090872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 163090872 is about 12770.7036611144. The cubic root of 163090872 is about 546.3570502023.

The spelling of 163090872 in words is "one hundred sixty-three million, ninety thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 151 168 252 302 453 504 604 906 1057 1208 1359 1812 2114 2143 2718 3171 3624 4228 4286 5436 6342 6429 8456 8572 9513 10872 12684 12858 15001 17144 19026 19287 25368 25716 30002 38052 38574 45003 51432 60004 76104 77148 90006 120008 135009 154296 180012 270018 323593 360024 540036 647186 970779 1080072 1294372 1941558 2265151 2588744 2912337 3883116 4530302 5824674 6795453 7766232 9060604 11649348 13590906 18121208 20386359 23298696 27181812 40772718 54363624 81545436 163090872