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16140672 = 273214011
BaseRepresentation
bin111101100100…
…100110000000
31010101000211200
4331210212000
513113000142
61333541200
7254123232
oct75444600
933330750
1016140672
1191247a9
1254a4800
1334618c2
142202252
15163c64c
hexf64980

16140672 has 48 divisors (see below), whose sum is σ = 46449780. Its totient is φ = 5379840.

The previous prime is 16140659. The next prime is 16140679. The reversal of 16140672 is 27604161.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×161406723 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16140679) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5854 + ... + 8157.

Almost surely, 216140672 is an apocalyptic number.

16140672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16140672 is an abundant number, since it is smaller than the sum of its proper divisors (30309108).

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

16140672 is a wasteful number, since it uses less digits than its factorization.

16140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14031 (or 14016 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 16140672 is about 4017.5455193439. The cubic root of 16140672 is about 252.7205379695.

The spelling of 16140672 in words is "sixteen million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 14011 28022 42033 56044 84066 112088 126099 168132 224176 252198 336264 448352 504396 672528 896704 1008792 1345056 1793408 2017584 2690112 4035168 5380224 8070336 16140672