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117151104 = 2737411063
BaseRepresentation
bin1101111101110…
…01010110000000
322011102220002210
412332321112000
5214442313404
615342542120
72621524260
oct676712600
9264386083
10117151104
11601463a4
1233297940
131b36a2a5
14117b77a0
15a441689
hex6fb9580

117151104 has 128 divisors (see below), whose sum is σ = 364654080. Its totient is φ = 32624640.

The previous prime is 117151103. The next prime is 117151117. The reversal of 117151104 is 401151711.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117151103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109677 + ... + 110739.

It is an arithmetic number, because the mean of its divisors is an integer number (2848860).

Almost surely, 2117151104 is an apocalyptic number.

117151104 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 117151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182327040).

117151104 is an abundant number, since it is smaller than the sum of its proper divisors (247502976).

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

117151104 is a wasteful number, since it uses less digits than its factorization.

117151104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 21.

The square root of 117151104 is about 10823.6363575279. The cubic root of 117151104 is about 489.3077883812.

The spelling of 117151104 in words is "one hundred seventeen million, one hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 287 328 336 384 448 492 574 656 672 861 896 984 1063 1148 1312 1344 1722 1968 2126 2296 2624 2688 3189 3444 3936 4252 4592 5248 6378 6888 7441 7872 8504 9184 12756 13776 14882 15744 17008 18368 22323 25512 27552 29764 34016 36736 43583 44646 51024 55104 59528 68032 87166 89292 102048 110208 119056 130749 136064 174332 178584 204096 238112 261498 305081 348664 357168 408192 476224 522996 610162 697328 714336 915243 952448 1045992 1220324 1394656 1428672 1830486 2091984 2440648 2789312 2857344 3660972 4183968 4881296 5578624 7321944 8367936 9762592 14643888 16735872 19525184 29287776 39050368 58575552 117151104