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199760688 = 2433462409
BaseRepresentation
bin10111110100000…
…01101100110000
3111220212220011000
423322001230300
5402114320223
631453322000
74643636451
oct1372015460
9456786130
10199760688
11a283a186
1256a96300
13325023ba
141c75d128
151280d543
hexbe81b30

199760688 has 40 divisors (see below), whose sum is σ = 573388400. Its totient is φ = 66586752.

The previous prime is 199760633. The next prime is 199760689. The reversal of 199760688 is 886067991.

199760688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (199760689) by changing a digit.

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, 230773 + ... + 231636.

It is an arithmetic number, because the mean of its divisors is an integer number (14334710).

Almost surely, 2199760688 is an apocalyptic number.

199760688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

199760688 is an abundant number, since it is smaller than the sum of its proper divisors (373627712).

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

199760688 is a wasteful number, since it uses less digits than its factorization.

199760688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462426 (or 462414 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 199760688 is about 14133.6721343040. The cubic root of 199760688 is about 584.5702037035.

The spelling of 199760688 in words is "one hundred ninety-nine million, seven hundred sixty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 462409 924818 1387227 1849636 2774454 3699272 4161681 5548908 7398544 8323362 11097816 12485043 16646724 22195632 24970086 33293448 49940172 66586896 99880344 199760688