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117642240 = 2103352337
BaseRepresentation
bin1110000001100…
…01010000000000
322012100211211000
413000301100000
5220104022430
615401252000
72625641202
oct700612000
9265324730
10117642240
11604513a1
1233494000
131b4ac9c1
14118a4772
15a4dbe60
hex7031400

117642240 has 352 divisors, whose sum is σ = 448047360. Its totient is φ = 29196288.

The previous prime is 117642223. The next prime is 117642271. The reversal of 117642240 is 42246711.

117642240 is a `hidden beast` number, since 1 + 17 + 642 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3179502 + ... + 3179538.

Almost surely, 2117642240 is an apocalyptic number.

117642240 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 117642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224023680).

117642240 is an abundant number, since it is smaller than the sum of its proper divisors (330405120).

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

117642240 is a wasteful number, since it uses less digits than its factorization.

117642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 117642240 is about 10846.3007518693. The cubic root of 117642240 is about 489.9906148418.

Adding to 117642240 its reverse (42246711), we get a palindrome (159888951).

The spelling of 117642240 in words is "one hundred seventeen million, six hundred forty-two thousand, two hundred forty".