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117863040 = 27351723157
BaseRepresentation
bin1110000011001…
…11001010000000
322012210001200210
413001213022000
5220133104130
615410114120
72630551011
oct701471200
9265701623
10117863040
1160592279
123357b940
131b559359
1411921008
15a5325b0
hex7067280

117863040 has 256 divisors, whose sum is σ = 417726720. Its totient is φ = 28114944.

The previous prime is 117863029. The next prime is 117863107. The reversal of 117863040 is 40368711.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 117862989 and 117863007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750642 + ... + 750798.

It is an arithmetic number, because the mean of its divisors is an integer number (1631745).

Almost surely, 2117863040 is an apocalyptic number.

117863040 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 117863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208863360).

117863040 is an abundant number, since it is smaller than the sum of its proper divisors (299863680).

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

117863040 is a wasteful number, since it uses less digits than its factorization.

117863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 207 counting only the distinct ones).

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

The square root of 117863040 is about 10856.4745658985. The cubic root of 117863040 is about 490.2969739405.

The spelling of 117863040 in words is "one hundred seventeen million, eight hundred sixty-three thousand, forty".