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163188090 = 232513210729
BaseRepresentation
bin10011011101000…
…00110101111010
3102101001210222100
421232200311322
5313234004330
624105404230
74021035012
oct1156406572
9371053870
10163188090
118412a69a
1246799676
1327a68900
141795cc42
15e4d7060
hex9ba0d7a

163188090 has 72 divisors (see below), whose sum is σ = 459480060. Its totient is φ = 40165632.

The previous prime is 163188073. The next prime is 163188097. The reversal of 163188090 is 90881361.

It can be written as a sum of positive squares in 6 ways, for example, as 31236921 + 131951169 = 5589^2 + 11487^2 .

It is not an unprimeable number, because it can be changed into a prime (163188097) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9846 + ... + 20574.

Almost surely, 2163188090 is an apocalyptic number.

163188090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 163188090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229740030).

163188090 is an abundant number, since it is smaller than the sum of its proper divisors (296291970).

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

163188090 is a wasteful number, since it uses less digits than its factorization.

163188090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10768 (or 10752 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 163188090 is about 12774.5093839255. The cubic root of 163188090 is about 546.4655892609.

The spelling of 163188090 in words is "one hundred sixty-three million, one hundred eighty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 10729 15210 21458 32187 53645 64374 96561 107290 139477 160935 193122 278954 321870 418431 482805 697385 836862 965610 1255293 1394770 1813201 2092155 2510586 3626402 4184310 5439603 6276465 9066005 10879206 12552930 16318809 18132010 27198015 32637618 54396030 81594045 163188090