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117858640 = 2452416113
BaseRepresentation
bin1110000011001…
…10000101010000
322012202211122211
413001212011100
5220132434030
615410041504
72630532124
oct701460520
9265684584
10117858640
1160589a39
1233579294
131b557353
141191d584
15a53112a
hex7066150

117858640 has 40 divisors (see below), whose sum is σ = 275203368. Its totient is φ = 46940160.

The previous prime is 117858619. The next prime is 117858659. The reversal of 117858640 is 46858711.

It can be written as a sum of positive squares in 4 ways, for example, as 25160256 + 92698384 = 5016^2 + 9628^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1178586403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 117858593 and 117858602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16224 + ... + 22336.

Almost surely, 2117858640 is an apocalyptic number.

117858640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117858640 is an abundant number, since it is smaller than the sum of its proper divisors (157344728).

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

117858640 is a wasteful number, since it uses less digits than its factorization.

117858640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6367 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 117858640 is about 10856.2719199548. The cubic root of 117858640 is about 490.2908726964.

The spelling of 117858640 in words is "one hundred seventeen million, eight hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 964 1205 1928 2410 3856 4820 6113 9640 12226 19280 24452 30565 48904 61130 97808 122260 244520 489040 1473233 2946466 5892932 7366165 11785864 14732330 23571728 29464660 58929320 117858640