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117731328 = 2123111367
BaseRepresentation
bin1110000010001…
…11000000000000
322012112101000120
413001013000000
5220114400303
615403220240
72626462011
oct701070000
9265471016
10117731328
1160502320
1233517680
131b511410
14118c9008
15a508553
hex7047000

117731328 has 208 divisors, whose sum is σ = 374295936. Its totient is φ = 32440320.

The previous prime is 117731309. The next prime is 117731359. The reversal of 117731328 is 823137711.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 1757151 + ... + 1757217.

Almost surely, 2117731328 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 117731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187147968).

117731328 is an abundant number, since it is smaller than the sum of its proper divisors (256564608).

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

117731328 is a wasteful number, since it uses less digits than its factorization.

117731328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 117731328 is about 10850.4068126499. The cubic root of 117731328 is about 490.1142701704.

It can be divided in two parts, 117 and 731328, that added together give a triangular number (731445 = T1209).

The spelling of 117731328 in words is "one hundred seventeen million, seven hundred thirty-one thousand, three hundred twenty-eight".