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117366912 = 27321317461
BaseRepresentation
bin1101111111011…
…10000010000000
322011211212010200
412333232002000
5220021220122
615351325200
72623413405
oct677560200
9264755120
10117366912
1160283553
1233380800
131b4145a0
14118322ac
15a4855ac
hex6fee080

117366912 has 192 divisors, whose sum is σ = 385945560. Its totient is φ = 33914880.

The previous prime is 117366911. The next prime is 117366913. The reversal of 117366912 is 219663711.

It is an interprime number because it is at equal distance from previous prime (117366911) and next prime (117366913).

It can be written as a sum of positive squares in 4 ways, for example, as 87160896 + 30206016 = 9336^2 + 5496^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (117366911) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 254362 + ... + 254822.

Almost surely, 2117366912 is an apocalyptic number.

117366912 is a gapful number since it is divisible by the number (12) 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 117366912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192972780).

117366912 is an abundant number, since it is smaller than the sum of its proper divisors (268578648).

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

117366912 is a wasteful number, since it uses less digits than its factorization.

117366912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 496 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 117366912 is about 10833.6010633584. The cubic root of 117366912 is about 489.6080608695.

It can be divided in two parts, 117 and 366912, that multiplied together give a square (42928704 = 65522).

The spelling of 117366912 in words is "one hundred seventeen million, three hundred sixty-six thousand, nine hundred twelve".