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117240960 = 2735227269
BaseRepresentation
bin1101111110011…
…11010010000000
322011121110100210
412333033102000
5220003202320
615344514120
72622350244
oct677172200
9264543323
10117240960
11601a7961
123331b940
131b39c165
14117dc424
15a45d0e0
hex6fcf480

117240960 has 128 divisors (see below), whose sum is σ = 376747200. Its totient is φ = 31010816.

The previous prime is 117240953. The next prime is 117240961. The reversal of 117240960 is 69042711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (117240961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435706 + ... + 435974.

Almost surely, 2117240960 is an apocalyptic number.

117240960 is a gapful number since it is divisible by the number (10) 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 117240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188373600).

117240960 is an abundant number, since it is smaller than the sum of its proper divisors (259506240).

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

117240960 is a wasteful number, since it uses less digits than its factorization.

117240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 117240960 is about 10827.7864773923. The cubic root of 117240960 is about 489.4328576374.

The spelling of 117240960 in words is "one hundred seventeen million, two hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 227 240 269 320 384 454 480 538 640 681 807 908 960 1076 1135 1345 1362 1614 1816 1920 2152 2270 2690 2724 3228 3405 3632 4035 4304 4540 5380 5448 6456 6810 7264 8070 8608 9080 10760 10896 12912 13620 14528 16140 17216 18160 21520 21792 25824 27240 29056 32280 34432 36320 43040 43584 51648 54480 61063 64560 72640 86080 87168 103296 108960 122126 129120 145280 172160 183189 217920 244252 258240 305315 366378 435840 488504 516480 610630 732756 915945 977008 1221260 1465512 1831890 1954016 2442520 2931024 3663780 3908032 4885040 5862048 7327560 7816064 9770080 11724096 14655120 19540160 23448192 29310240 39080320 58620480 117240960