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117766320 = 2435770099
BaseRepresentation
bin1110000010011…
…11100010110000
322012121011000120
413001033202300
5220122010240
615404050240
72626666020
oct701174260
9265534016
10117766320
1160526641
1233533980
131b524319
14118d7a80
15a513ad0
hex704f8b0

117766320 has 80 divisors (see below), whose sum is σ = 417235200. Its totient is φ = 26917632.

The previous prime is 117766307. The next prime is 117766331. The reversal of 117766320 is 23667711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1177663202 = 27737812252684800, which contains 22 as substring.

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, 33370 + ... + 36729.

It is an arithmetic number, because the mean of its divisors is an integer number (5215440).

Almost surely, 2117766320 is an apocalyptic number.

117766320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117766320 is an abundant number, since it is smaller than the sum of its proper divisors (299468880).

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

117766320 is a wasteful number, since it uses less digits than its factorization.

117766320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70122 (or 70116 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 117766320 is about 10852.0191669569. The cubic root of 117766320 is about 490.1628224688.

The spelling of 117766320 in words is "one hundred seventeen million, seven hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 70099 140198 210297 280396 350495 420594 490693 560792 700990 841188 981386 1051485 1121584 1401980 1472079 1682376 1962772 2102970 2453465 2803960 2944158 3364752 3925544 4205940 4906930 5607920 5888316 7360395 7851088 8411880 9813860 11776632 14720790 16823760 19627720 23553264 29441580 39255440 58883160 117766320