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116792118 = 2351671439
BaseRepresentation
bin1101111011000…
…01101100110110
322010202122200000
412331201230312
5214344321433
615331132130
72615500542
oct675415466
9263678600
10116792118
115aa20713
1233144046
131b272a81
1411722a22
15a3c0113
hex6f61b36

116792118 has 48 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 38670696.

The previous prime is 116792111. The next prime is 116792131. The reversal of 116792118 is 811297611.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116792111) 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, 80443 + ... + 81881.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2116792118 is an apocalyptic number.

116792118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116792118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

116792118 is an abundant number, since it is smaller than the sum of its proper divisors (147384522).

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

116792118 is a wasteful number, since it uses less digits than its factorization.

116792118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1611 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The square root of 116792118 is about 10807.0402053476. The cubic root of 116792118 is about 488.8074818960.

The spelling of 116792118 in words is "one hundred sixteen million, seven hundred ninety-two thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 167 243 334 486 501 1002 1439 1503 2878 3006 4317 4509 8634 9018 12951 13527 25902 27054 38853 40581 77706 81162 116559 233118 240313 349677 480626 699354 720939 1441878 2162817 4325634 6488451 12976902 19465353 38930706 58396059 116792118