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117865440 = 253257111063
BaseRepresentation
bin1110000011001…
…11101111100000
322012210011222200
413001213233200
5220133143230
615410133200
72630561010
oct701475740
9265704880
10117865440
1160594060
1233581200
131b55a484
1411921c40
15a533160
hex7067be0

117865440 has 288 divisors, whose sum is σ = 501935616. Its totient is φ = 24468480.

The previous prime is 117865411. The next prime is 117865453. The reversal of 117865440 is 44568711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 117865395 and 117865404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110349 + ... + 111411.

It is an arithmetic number, because the mean of its divisors is an integer number (1742832).

Almost surely, 2117865440 is an apocalyptic number.

117865440 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 117865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

117865440 is an abundant number, since it is smaller than the sum of its proper divisors (384070176).

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

117865440 is a wasteful number, since it uses less digits than its factorization.

117865440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 117865440 is about 10856.5850984552. The cubic root of 117865440 is about 490.3003018278.

The spelling of 117865440 in words is "one hundred seventeen million, eight hundred sixty-five thousand, four hundred forty".