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117534144 = 2637213312
BaseRepresentation
bin1110000000101…
…10110111000000
322012011100112110
413000112313000
5220042043034
615355055320
72625011100
oct700266700
9265140473
10117534144
1160388162
1233441540
131b472740
1411877200
15a4b9de9
hex7016dc0

117534144 has 252 divisors, whose sum is σ = 402546312. Its totient is φ = 29998080.

The previous prime is 117534139. The next prime is 117534149. The reversal of 117534144 is 441435711.

It is an interprime number because it is at equal distance from previous prime (117534139) and next prime (117534149).

Its product of digits (6720) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117534149) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3791409 + ... + 3791439.

It is an arithmetic number, because the mean of its divisors is an integer number (1597406).

Almost surely, 2117534144 is an apocalyptic number.

117534144 is a gapful number since it is divisible by the number (14) 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 117534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201273156).

117534144 is an abundant number, since it is smaller than the sum of its proper divisors (285012168).

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

117534144 is a wasteful number, since it uses less digits than its factorization.

117534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 56 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 117534144 is about 10841.3165252196. The cubic root of 117534144 is about 489.8404922994.

Adding to 117534144 its reverse (441435711), we get a palindrome (558969855).

The spelling of 117534144 in words is "one hundred seventeen million, five hundred thirty-four thousand, one hundred forty-four".