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117460224 = 283277283
BaseRepresentation
bin1110000000001…
…00110100000000
322012000121010200
413000010310000
5220032211344
615353325200
72624252430
oct700046400
9265017120
10117460224
1160337672
1233406800
131b447bbb
14118582c0
15a4a3069
hex7004d00

117460224 has 108 divisors (see below), whose sum is σ = 387100896. Its totient is φ = 33555456.

The previous prime is 117460201. The next prime is 117460247. The reversal of 117460224 is 422064711.

It is an interprime number because it is at equal distance from previous prime (117460201) and next prime (117460247).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12487 + ... + 19769.

Almost surely, 2117460224 is an apocalyptic number.

117460224 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 117460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193550448).

117460224 is an abundant number, since it is smaller than the sum of its proper divisors (269640672).

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

117460224 is an equidigital number, since it uses as much as digits as its factorization.

117460224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7312 (or 7295 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 117460224 is about 10837.9068089738. The cubic root of 117460224 is about 489.7377800109.

The spelling of 117460224 in words is "one hundred seventeen million, four hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 7283 8064 14566 16128 21849 29132 43698 50981 58264 65547 87396 101962 116528 131094 152943 174792 203924 233056 262188 305886 349584 407848 458829 466112 524376 611772 699168 815696 917658 932224 1048752 1223544 1398336 1631392 1835316 1864448 2097504 2447088 2796672 3262784 3670632 4195008 4894176 5593344 6525568 7341264 8390016 9788352 13051136 14682528 16780032 19576704 29365056 39153408 58730112 117460224