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117038460 = 22357311247
BaseRepresentation
bin1101111100111…
…01110101111100
322011020011120210
412332131311330
5214430212320
615340312420
72620545000
oct676356574
9264204523
10117038460
1160079800
1233242710
131b32ac36
1411788700
15a41d0e0
hex6f9dd7c

117038460 has 288 divisors, whose sum is σ = 429004800. Its totient is φ = 23802240.

The previous prime is 117038447. The next prime is 117038473. The reversal of 117038460 is 64830711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (117038447) and next prime (117038473).

It is a super-2 number, since 2×1170384602 = 27396002238343200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2490157 + ... + 2490203.

It is an arithmetic number, because the mean of its divisors is an integer number (1489600).

Almost surely, 2117038460 is an apocalyptic number.

117038460 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 117038460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214502400).

117038460 is an abundant number, since it is smaller than the sum of its proper divisors (311966340).

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

117038460 is a wasteful number, since it uses less digits than its factorization.

117038460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 117038460 is about 10818.4314944450. The cubic root of 117038460 is about 489.1509104695.

The spelling of 117038460 in words is "one hundred seventeen million, thirty-eight thousand, four hundred sixty".