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117460992 = 212311279
BaseRepresentation
bin1110000000001…
…01000000000000
322012000122012010
413000011000000
5220032222432
615353332520
72624254605
oct700050000
9265018163
10117460992
1160338200
1233407140
131b44835c
14118586ac
15a4a33cc
hex7005000

117460992 has 156 divisors (see below), whose sum is σ = 348608960. Its totient is φ = 35143680.

The previous prime is 117460979. The next prime is 117460997. The reversal of 117460992 is 299064711.

It is a self number, because there is not a number n which added to its sum of digits gives 117460992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117460997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1486809 + ... + 1486887.

Almost surely, 2117460992 is an apocalyptic number.

117460992 is a gapful number since it is divisible by the number (12) 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 117460992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174304480).

117460992 is an abundant number, since it is smaller than the sum of its proper divisors (231147968).

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

117460992 is an equidigital number, since it uses as much as digits as its factorization.

117460992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 117460992 is about 10837.9422401118. The cubic root of 117460992 is about 489.7388473730.

The spelling of 117460992 in words is "one hundred seventeen million, four hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 121 128 132 158 176 192 237 242 256 264 316 352 363 384 474 484 512 528 632 704 726 768 869 948 968 1024 1056 1264 1408 1452 1536 1738 1896 1936 2048 2112 2528 2607 2816 2904 3072 3476 3792 3872 4096 4224 5056 5214 5632 5808 6144 6952 7584 7744 8448 9559 10112 10428 11264 11616 12288 13904 15168 15488 16896 19118 20224 20856 22528 23232 27808 28677 30336 30976 33792 38236 40448 41712 45056 46464 55616 57354 60672 61952 67584 76472 80896 83424 92928 111232 114708 121344 123904 135168 152944 161792 166848 185856 222464 229416 242688 247808 305888 323584 333696 371712 444928 458832 485376 495616 611776 667392 743424 889856 917664 970752 1223552 1334784 1486848 1779712 1835328 2447104 2669568 3559424 3670656 4894208 5339136 7341312 9788416 10678272 14682624 19576832 29365248 39153664 58730496 117460992