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117287352 = 2336713217
BaseRepresentation
bin1101111110110…
…10100110111000
322011200211000000
412333122212320
5220011143402
615345513000
72622632430
oct677324670
9264624000
10117287352
11602297a6
1233342760
131b3b7300
14118112c0
15a46bc1c
hex6fda9b8

117287352 has 336 divisors, whose sum is σ = 432041040. Its totient is φ = 29113344.

The previous prime is 117287341. The next prime is 117287363. The reversal of 117287352 is 253782711.

It is an interprime number because it is at equal distance from previous prime (117287341) and next prime (117287363).

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

Its product of digits (23520) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6899248 + ... + 6899264.

Almost surely, 2117287352 is an apocalyptic number.

117287352 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 117287352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216020520).

117287352 is an abundant number, since it is smaller than the sum of its proper divisors (314753688).

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

117287352 is a wasteful number, since it uses less digits than its factorization.

117287352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 42 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 117287352 is about 10829.9285316201. The cubic root of 117287352 is about 489.4974049734.

The spelling of 117287352 in words is "one hundred seventeen million, two hundred eighty-seven thousand, three hundred fifty-two".