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117449904 = 243111371241
BaseRepresentation
bin1110000000000…
…10010010110000
322012000001222110
413000002102300
5220031344104
615353205320
72624210355
oct700022260
9265001873
10117449904
116032a940
1233400840
131b4432b0
141185462c
15a49ee89
hex70024b0

117449904 has 160 divisors (see below), whose sum is σ = 362976768. Its totient is φ = 32256000.

The previous prime is 117449903. The next prime is 117449921. The reversal of 117449904 is 409944711.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117449903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487224 + ... + 487464.

Almost surely, 2117449904 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 117449904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181488384).

117449904 is an abundant number, since it is smaller than the sum of its proper divisors (245526864).

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

117449904 is a wasteful number, since it uses less digits than its factorization.

117449904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 117449904 is about 10837.4306918199. The cubic root of 117449904 is about 489.7234368805.

The spelling of 117449904 in words is "one hundred seventeen million, four hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 71 78 88 104 132 142 143 156 176 208 213 241 264 284 286 312 426 429 482 528 568 572 624 723 781 852 858 923 964 1136 1144 1446 1562 1704 1716 1846 1928 2288 2343 2651 2769 2892 3124 3133 3408 3432 3692 3856 4686 5302 5538 5784 6248 6266 6864 7384 7953 9372 9399 10153 10604 11076 11568 12496 12532 14768 15906 17111 18744 18798 20306 21208 22152 25064 30459 31812 34222 34463 37488 37596 40612 42416 44304 50128 51333 60918 63624 68444 68926 75192 81224 102666 103389 121836 127248 136888 137852 150384 162448 188221 205332 206778 222443 243672 273776 275704 376442 410664 413556 444886 487344 551408 564663 667329 752884 821328 827112 889772 1129326 1334658 1505768 1654224 1779544 2258652 2446873 2669316 3011536 3559088 4517304 4893746 5338632 7340619 9034608 9787492 10677264 14681238 19574984 29362476 39149968 58724952 117449904