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199632072 = 23321293907
BaseRepresentation
bin10111110011000…
…10010011001000
3111220122100201110
423321202103020
5402101211242
631450450320
74642562463
oct1371422310
9456570643
10199632072
11a2761592
1256a339a0
13324889b3
141c7282da
15127d539c
hexbe624c8

199632072 has 32 divisors (see below), whose sum is σ = 499442400. Its totient is φ = 66495744.

The previous prime is 199632067. The next prime is 199632113. The reversal of 199632072 is 270236991.

It is a self number, because there is not a number n which added to its sum of digits gives 199632072.

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 7 ways as a sum of consecutive naturals, for example, 49143 + ... + 53049.

It is an arithmetic number, because the mean of its divisors is an integer number (15607575).

Almost surely, 2199632072 is an apocalyptic number.

199632072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199632072 is an abundant number, since it is smaller than the sum of its proper divisors (299810328).

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

199632072 is a wasteful number, since it uses less digits than its factorization.

199632072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 199632072 is about 14129.1214164222. The cubic root of 199632072 is about 584.4447181807. Note that the first 3 decimals are identical.

The spelling of 199632072 in words is "one hundred ninety-nine million, six hundred thirty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 2129 3907 4258 6387 7814 8516 11721 12774 15628 17032 23442 25548 31256 46884 51096 93768 8318003 16636006 24954009 33272012 49908018 66544024 99816036 199632072