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117458424 = 2335233771
BaseRepresentation
bin1110000000001…
…00010111111000
322012000111200000
413000010113320
5220032132144
615353313000
72624244246
oct700042770
9265014600
10117458424
1160336286
1233405760
131b447135
1411857796
15a4a2769
hex70045f8

117458424 has 192 divisors, whose sum is σ = 358525440. Its totient is φ = 35925120.

The previous prime is 117458417. The next prime is 117458431. The reversal of 117458424 is 424854711.

It is a happy number.

117458424 is a `hidden beast` number, since 1 + 1 + 74 + 584 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (117458417) and next prime (117458431).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1654309 + ... + 1654379.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2117458424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117458424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

117458424 is an abundant number, since it is smaller than the sum of its proper divisors (241067016).

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

117458424 is a wasteful number, since it uses less digits than its factorization.

117458424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 117458424 is about 10837.8237667901. The cubic root of 117458424 is about 489.7352783626.

The spelling of 117458424 in words is "one hundred seventeen million, four hundred fifty-eight thousand, four hundred twenty-four".