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117764304 = 24371753389
BaseRepresentation
bin1110000010011…
…11000011010000
322012121001020220
413001033003100
5220121424204
615404033040
72626660110
oct701170320
9265531226
10117764304
1160525079
1233532780
131b523428
14118d7040
15a5131d9
hex704f0d0

117764304 has 160 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 30990336.

The previous prime is 117764267. The next prime is 117764333. The reversal of 117764304 is 403467711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302542 + ... + 302930.

It is an arithmetic number, because the mean of its divisors is an integer number (2350296).

Almost surely, 2117764304 is an apocalyptic number.

117764304 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 117764304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

117764304 is an abundant number, since it is smaller than the sum of its proper divisors (258283056).

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

117764304 is a wasteful number, since it uses less digits than its factorization.

117764304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 117764304 is about 10851.9262806195. The cubic root of 117764304 is about 490.1600254782.

The spelling of 117764304 in words is "one hundred seventeen million, seven hundred sixty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 53 56 68 84 102 106 112 119 136 159 168 204 212 238 272 318 336 357 371 389 408 424 476 636 714 742 778 816 848 901 952 1113 1167 1272 1428 1484 1556 1802 1904 2226 2334 2544 2703 2723 2856 2968 3112 3604 4452 4668 5406 5446 5712 5936 6224 6307 6613 7208 8169 8904 9336 10812 10892 12614 13226 14416 16338 17808 18672 18921 19839 20617 21624 21784 25228 26452 32676 37842 39678 41234 43248 43568 46291 50456 52904 61851 65352 75684 79356 82468 92582 100912 105808 123702 130704 138873 144319 151368 158712 164936 185164 247404 277746 288638 302736 317424 329872 350489 370328 432957 494808 555492 577276 700978 740656 865914 989616 1051467 1110984 1154552 1401956 1731828 2102934 2221968 2309104 2453423 2803912 3463656 4205868 4906846 5607824 6927312 7360269 8411736 9813692 14720538 16823472 19627384 29441076 39254768 58882152 117764304