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117186048 = 293372173
BaseRepresentation
bin1101111110000…
…01111000000000
322011111200001000
412333001320000
5214444423143
615343412000
72622031200
oct677017000
9264450030
10117186048
116016a681
12332b4000
131b380175
14117c6400
15a44bbd3
hex6fc1e00

117186048 has 240 divisors, whose sum is σ = 405844560. Its totient is φ = 33288192.

The previous prime is 117186031. The next prime is 117186059. The reversal of 117186048 is 840681711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677290 + ... + 677462.

It is an arithmetic number, because the mean of its divisors is an integer number (1691019).

Almost surely, 2117186048 is an apocalyptic number.

117186048 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 117186048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202922280).

117186048 is an abundant number, since it is smaller than the sum of its proper divisors (288658512).

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

117186048 is an equidigital number, since it uses as much as digits as its factorization.

117186048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 117186048 is about 10825.2504820905. The cubic root of 117186048 is about 489.3564340221.

It can be divided in two parts, 11718 and 6048, that added together give a triangular number (17766 = T188).

The spelling of 117186048 in words is "one hundred seventeen million, one hundred eighty-six thousand, forty-eight".