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117607424 = 2101153197
BaseRepresentation
bin1110000001010…
…00110000000000
322012022002001112
413000220300000
5220101414144
615400422452
72625434534
oct700506000
9265262045
10117607424
1160428220
1233477a28
131b499bbc
1411895bc4
15a4d199e
hex7028c00

117607424 has 88 divisors (see below), whose sum is σ = 262638288. Its totient is φ = 52183040.

The previous prime is 117607421. The next prime is 117607439. The reversal of 117607424 is 424706711.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (117607421) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 596894 + ... + 597090.

It is an arithmetic number, because the mean of its divisors is an integer number (2984526).

Almost surely, 2117607424 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 117607424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131319144).

117607424 is an abundant number, since it is smaller than the sum of its proper divisors (145030864).

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

117607424 is a wasteful number, since it uses less digits than its factorization.

117607424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 117607424 is about 10844.6956619354. The cubic root of 117607424 is about 489.9422728051.

The spelling of 117607424 in words is "one hundred seventeen million, six hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 197 212 256 352 394 424 512 583 704 788 848 1024 1166 1408 1576 1696 2167 2332 2816 3152 3392 4334 4664 5632 6304 6784 8668 9328 10441 11264 12608 13568 17336 18656 20882 25216 27136 34672 37312 41764 50432 54272 69344 74624 83528 100864 114851 138688 149248 167056 201728 229702 277376 298496 334112 459404 554752 596992 668224 918808 1109504 1336448 1837616 2219008 2672896 3675232 5345792 7350464 10691584 14700928 29401856 58803712 117607424