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117334560 = 2535747743
BaseRepresentation
bin1101111111001…
…10001000100000
322011210012202110
412333212020200
5220014201220
615350515320
72623220160
oct677461040
9264705673
10117334560
1160261212
1233365b40
131b402945
14118245a0
15a47abe0
hex6fe6220

117334560 has 192 divisors, whose sum is σ = 431972352. Its totient is φ = 26213376.

The previous prime is 117334559. The next prime is 117334571. The reversal of 117334560 is 65433711.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 157549 + ... + 158291.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2117334560 is an apocalyptic number.

117334560 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 117334560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215986176).

117334560 is an abundant number, since it is smaller than the sum of its proper divisors (314637792).

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

117334560 is a wasteful number, since it uses less digits than its factorization.

117334560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 117334560 is about 10832.1078281191. The cubic root of 117334560 is about 489.5630701779.

The spelling of 117334560 in words is "one hundred seventeen million, three hundred thirty-four thousand, five hundred sixty".