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117907488 = 253559257
BaseRepresentation
bin1110000011100…
…10000000100000
322012212022200000
413001302000200
5220141014423
615411100000
72631124416
oct701620040
9265768600
10117907488
1160612706
12335a1600
131b57365a
14119332b6
15a540843
hex7072020

117907488 has 144 divisors (see below), whose sum is σ = 354987360. Its totient is φ = 38486016.

The previous prime is 117907481. The next prime is 117907507. The reversal of 117907488 is 884709711.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (117907481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458656 + ... + 458912.

It is an arithmetic number, because the mean of its divisors is an integer number (2465190).

Almost surely, 2117907488 is an apocalyptic number.

117907488 is a gapful number since it is divisible by the number (18) 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 117907488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177493680).

117907488 is an abundant number, since it is smaller than the sum of its proper divisors (237079872).

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

117907488 is an equidigital number, since it uses as much as digits as its factorization.

117907488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 117907488 is about 10858.5214463112. The cubic root of 117907488 is about 490.3585990861.

The spelling of 117907488 in words is "one hundred seventeen million, nine hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 243 257 288 324 354 432 472 486 514 531 648 708 771 864 944 972 1028 1062 1296 1416 1542 1593 1888 1944 2056 2124 2313 2592 2832 3084 3186 3888 4112 4248 4626 4779 5664 6168 6372 6939 7776 8224 8496 9252 9558 12336 12744 13878 14337 15163 16992 18504 19116 20817 24672 25488 27756 28674 30326 37008 38232 41634 45489 50976 55512 57348 60652 62451 74016 76464 83268 90978 111024 114696 121304 124902 136467 152928 166536 181956 222048 229392 242608 249804 272934 333072 363912 409401 458784 485216 499608 545868 666144 727824 818802 999216 1091736 1228203 1455648 1637604 1998432 2183472 2456406 3275208 3684609 4366944 4912812 6550416 7369218 9825624 13100832 14738436 19651248 29476872 39302496 58953744 117907488