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199540656 = 24327197957
BaseRepresentation
bin10111110010010…
…11111110110000
3111220110201022200
423321023332300
5402040300111
631444503200
74642032120
oct1371137660
9456421280
10199540656
11a26a9937
12569aab00
13324561c3
141c702c80
15127b8256
hexbe4bfb0

199540656 has 60 divisors (see below), whose sum is σ = 638216592. Its totient is φ = 57011328.

The previous prime is 199540639. The next prime is 199540657. The reversal of 199540656 is 656045991.

It is a happy number.

199540656 is a `hidden beast` number, since 199 + 5 + 406 + 56 = 666.

199540656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (199540657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97971 + ... + 99986.

Almost surely, 2199540656 is an apocalyptic number.

199540656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199540656 is an abundant number, since it is smaller than the sum of its proper divisors (438675936).

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

199540656 is a wasteful number, since it uses less digits than its factorization.

199540656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197978 (or 197969 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 199540656 is about 14125.8860253083. The cubic root of 199540656 is about 584.3554944484.

The spelling of 199540656 in words is "one hundred ninety-nine million, five hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 197957 395914 593871 791828 1187742 1385699 1583656 1781613 2375484 2771398 3167312 3563226 4157097 4750968 5542796 7126452 8314194 9501936 11085592 12471291 14252904 16628388 22171184 24942582 28505808 33256776 49885164 66513552 99770328 199540656