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116942592 = 2831321753
BaseRepresentation
bin1101111100001…
…10011100000000
322011001022002010
412332012130000
5214414130332
615334252520
72616665334
oct676063400
9264038063
10116942592
1160013778
12331b7140
131b2c6400
14117617c4
15a3ee9cc
hex6f86700

116942592 has 216 divisors, whose sum is σ = 363578544. Its totient is φ = 33226752.

The previous prime is 116942563. The next prime is 116942597. The reversal of 116942592 is 295249611.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 116942592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116942597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2206438 + ... + 2206490.

It is an arithmetic number, because the mean of its divisors is an integer number (1683234).

Almost surely, 2116942592 is an apocalyptic number.

116942592 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 116942592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181789272).

116942592 is an abundant number, since it is smaller than the sum of its proper divisors (246635952).

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

116942592 is a wasteful number, since it uses less digits than its factorization.

116942592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 116942592 is about 10813.9998150546. Note that the first 3 decimals coincide. The cubic root of 116942592 is about 489.0173169791.

The spelling of 116942592 in words is "one hundred sixteen million, nine hundred forty-two thousand, five hundred ninety-two".