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16400268 = 22321923977
BaseRepresentation
bin111110100011…
…111110001100
31010212012221100
4332203332030
513144302033
61343303100
7256254123
oct76437614
933765840
1016400268
119291845
1255aaa90
133522b01
14226caba
15168e513
hexfa3f8c

16400268 has 36 divisors (see below), whose sum is σ = 43639960. Its totient is φ = 5178816.

The previous prime is 16400233. The next prime is 16400269. The reversal of 16400268 is 86200461.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (16400269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11305 + ... + 12672.

Almost surely, 216400268 is an apocalyptic number.

16400268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16400268 is an abundant number, since it is smaller than the sum of its proper divisors (27239692).

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

16400268 is a wasteful number, since it uses less digits than its factorization.

16400268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24006 (or 24001 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 16400268 is about 4049.7244350696. The cubic root of 16400268 is about 254.0682024882.

The spelling of 16400268 in words is "sixteen million, four hundred thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 23977 47954 71931 95908 143862 215793 287724 431586 455563 863172 911126 1366689 1822252 2733378 4100067 5466756 8200134 16400268