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117256640 = 265616007
BaseRepresentation
bin1101111110100…
…11000111000000
322011122020212112
412333103013000
5220004203030
615345114452
72622444044
oct677230700
9264566775
10117256640
1160208716
1233328a28
131b3a6337
1411804024
15a462a95
hex6fd31c0

117256640 has 56 divisors (see below), whose sum is σ = 283841952. Its totient is φ = 46126080.

The previous prime is 117256639. The next prime is 117256649. The reversal of 117256640 is 46652711.

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

It is a junction number, because it is equal to n+sod(n) for n = 117256597 and 117256606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117256649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16517 + ... + 22523.

Almost surely, 2117256640 is an apocalyptic number.

117256640 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 117256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141920976).

117256640 is an abundant number, since it is smaller than the sum of its proper divisors (166585312).

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

117256640 is an equidigital number, since it uses as much as digits as its factorization.

117256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6085 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 117256640 is about 10828.5105162252. The cubic root of 117256640 is about 489.4546758516.

The spelling of 117256640 in words is "one hundred seventeen million, two hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 976 1220 1952 2440 3904 4880 6007 9760 12014 19520 24028 30035 48056 60070 96112 120140 192224 240280 366427 384448 480560 732854 961120 1465708 1832135 1922240 2931416 3664270 5862832 7328540 11725664 14657080 23451328 29314160 58628320 117256640