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117971370 = 233511223157
BaseRepresentation
bin1110000100000…
…01100110101010
322012222120022000
413002001212222
5220200040440
615412311430
72631511566
oct702014652
9265876260
10117971370
1160656700
1233612576
131b59675a
141194c6a6
15a554730
hex70819aa

117971370 has 192 divisors, whose sum is σ = 363121920. Its totient is φ = 27181440.

The previous prime is 117971299. The next prime is 117971417. The reversal of 117971370 is 73179711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 751332 + ... + 751488.

It is an arithmetic number, because the mean of its divisors is an integer number (1891260).

Almost surely, 2117971370 is an apocalyptic number.

117971370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117971370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181560960).

117971370 is an abundant number, since it is smaller than the sum of its proper divisors (245150550).

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

117971370 is a wasteful number, since it uses less digits than its factorization.

117971370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 9261, while the sum is 36.

The square root of 117971370 is about 10861.4626086913. The cubic root of 117971370 is about 490.4471414764.

It can be divided in two parts, 117971 and 370, that added together give a triangular number (118341 = T486).

The spelling of 117971370 in words is "one hundred seventeen million, nine hundred seventy-one thousand, three hundred seventy".