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104238144 = 2633179337
BaseRepresentation
bin1100011011010…
…00110001000000
321021010211212000
412031220301000
5203141110034
614202104000
72404003203
oct615506100
9237124760
10104238144
115392672a
122aaab000
131879889a
14dbb593a
159240599
hex6368c40

104238144 has 112 divisors (see below), whose sum is σ = 309067200. Its totient is φ = 34449408.

The previous prime is 104238107. The next prime is 104238157. The reversal of 104238144 is 441832401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309144 + ... + 309480.

Almost surely, 2104238144 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 104238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154533600).

104238144 is an abundant number, since it is smaller than the sum of its proper divisors (204829056).

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

104238144 is a wasteful number, since it uses less digits than its factorization.

104238144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 104238144 is about 10209.7083210051. The cubic root of 104238144 is about 470.6256102276.

The spelling of 104238144 in words is "one hundred four million, two hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 179 192 216 288 337 358 432 537 576 674 716 864 1011 1074 1348 1432 1611 1728 2022 2148 2696 2864 3033 3222 4044 4296 4833 5392 5728 6066 6444 8088 8592 9099 9666 10784 11456 12132 12888 16176 17184 18198 19332 21568 24264 25776 32352 34368 36396 38664 48528 51552 60323 64704 72792 77328 97056 103104 120646 145584 154656 180969 194112 241292 291168 309312 361938 482584 542907 582336 723876 965168 1085814 1447752 1628721 1930336 2171628 2895504 3257442 3860672 4343256 5791008 6514884 8686512 11582016 13029768 17373024 26059536 34746048 52119072 104238144