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16400272 = 2471271153
BaseRepresentation
bin111110100011…
…111110010000
31010212012221111
4332203332100
513144302042
61343303104
7256254130
oct76437620
933765844
1016400272
119291849
1255aaa94
133522b05
14226cac0
15168e517
hexfa3f90

16400272 has 40 divisors (see below), whose sum is σ = 36632576. Its totient is φ = 6967296.

The previous prime is 16400269. The next prime is 16400273. The reversal of 16400272 is 27200461.

It is not an unprimeable number, because it can be changed into a prime (16400273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13648 + ... + 14800.

Almost surely, 216400272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16400272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18316288).

16400272 is an abundant number, since it is smaller than the sum of its proper divisors (20232304).

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

16400272 is a wasteful number, since it uses less digits than its factorization.

16400272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 16400272 is about 4049.7249289304. The cubic root of 16400272 is about 254.0682231438.

The spelling of 16400272 in words is "sixteen million, four hundred thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 1016 1153 1778 2032 2306 3556 4612 7112 8071 9224 14224 16142 18448 32284 64568 129136 146431 292862 585724 1025017 1171448 2050034 2342896 4100068 8200136 16400272