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117253440 = 2633541331
BaseRepresentation
bin1101111110100…
…10010101000000
322011122002111000
412333102111000
5220004102230
615345052000
72622431523
oct677222500
9264562430
10117253440
1160206277
1233327000
131b3a4a45
1411802bba
15a461b60
hex6fd2540

117253440 has 224 divisors, whose sum is σ = 425013120. Its totient is φ = 30412800.

The previous prime is 117253393. The next prime is 117253441. The reversal of 117253440 is 44352711.

117253440 is a `hidden beast` number, since 1 + 172 + 53 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117253441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354075 + ... + 354405.

It is an arithmetic number, because the mean of its divisors is an integer number (1897380).

Almost surely, 2117253440 is an apocalyptic number.

117253440 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 117253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212506560).

117253440 is an abundant number, since it is smaller than the sum of its proper divisors (307759680).

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

117253440 is a wasteful number, since it uses less digits than its factorization.

117253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 117253440 is about 10828.3627571300. The cubic root of 117253440 is about 489.4502233128.

The spelling of 117253440 in words is "one hundred seventeen million, two hundred fifty-three thousand, four hundred forty".