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117407376 = 2432899161
BaseRepresentation
bin1101111111101…
…11111010010000
322011220220122100
412333313322100
5220024014001
615352240400
72623642362
oct677677220
9264826570
10117407376
1160300999
12333a0100
131b429b28
1411842d32
15a492586
hex6ff7e90

117407376 has 60 divisors (see below), whose sum is σ = 332305740. Its totient is φ = 38691840.

The previous prime is 117407369. The next prime is 117407377. The reversal of 117407376 is 673704711.

It can be written as a sum of positive squares in 2 ways, for example, as 30470400 + 86936976 = 5520^2 + 9324^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 117407376.

It is not an unprimeable number, because it can be changed into a prime (117407377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8236 + ... + 17396.

It is an arithmetic number, because the mean of its divisors is an integer number (5538429).

Almost surely, 2117407376 is an apocalyptic number.

117407376 is a gapful number since it is divisible by the number (16) 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 117407376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166152870).

117407376 is an abundant number, since it is smaller than the sum of its proper divisors (214898364).

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

117407376 is a wasteful number, since it uses less digits than its factorization.

117407376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9264 (or 9255 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 117407376 is about 10835.4684254997. The cubic root of 117407376 is about 489.6643209741.

The spelling of 117407376 in words is "one hundred seventeen million, four hundred seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 9161 12816 18322 27483 36644 54966 73288 82449 109932 146576 164898 219864 329796 439728 659592 815329 1319184 1630658 2445987 3261316 4891974 6522632 7337961 9783948 13045264 14675922 19567896 29351844 39135792 58703688 117407376