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16104144 = 2437241167
BaseRepresentation
bin111101011011…
…101011010000
31010022011201210
4331123223100
513110313034
61333100120
7253611600
oct75335320
933264653
1016104144
1190aa311
125487640
13344b0a4
1421d2c00
1516318e9
hexf5bad0

16104144 has 120 divisors (see below), whose sum is σ = 49871808. Its totient is φ = 4462080.

The previous prime is 16104131. The next prime is 16104157. The reversal of 16104144 is 44140161.

It is an interprime number because it is at equal distance from previous prime (16104131) and next prime (16104157).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 16104144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96349 + ... + 96515.

Almost surely, 216104144 is an apocalyptic number.

16104144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935904).

16104144 is an abundant number, since it is smaller than the sum of its proper divisors (33767664).

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

16104144 is a wasteful number, since it uses less digits than its factorization.

16104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 16104144 is about 4012.9968851221. The cubic root of 16104144 is about 252.5297497869.

The spelling of 16104144 in words is "sixteen million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 49 56 82 84 98 112 123 147 164 167 168 196 246 287 294 328 334 336 392 492 501 574 588 656 668 784 861 984 1002 1148 1169 1176 1336 1722 1968 2004 2009 2296 2338 2352 2672 3444 3507 4008 4018 4592 4676 6027 6847 6888 7014 8016 8036 8183 9352 12054 13694 13776 14028 16072 16366 18704 20541 24108 24549 27388 28056 32144 32732 41082 47929 48216 49098 54776 56112 65464 82164 95858 96432 98196 109552 130928 143787 164328 191716 196392 287574 328656 335503 383432 392784 575148 671006 766864 1006509 1150296 1342012 2013018 2300592 2684024 4026036 5368048 8052072 16104144