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116738040 = 23351138609
BaseRepresentation
bin1101111010101…
…00011111111000
322010122220111010
412331110133320
5214341104130
615330033520
72615154066
oct675243770
9263586433
10116738040
115a994021
12331188a0
131b254283
141170b036
15a3ae0b0
hex6f547f8

116738040 has 64 divisors (see below), whose sum is σ = 353354400. Its totient is φ = 30851072.

The previous prime is 116738003. The next prime is 116738051. The reversal of 116738040 is 40837611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116737989 and 116738007.

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 15 ways as a sum of consecutive naturals, for example, 9256 + ... + 17864.

Almost surely, 2116738040 is an apocalyptic number.

116738040 is a gapful number since it is divisible by the number (10) 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 116738040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176677200).

116738040 is an abundant number, since it is smaller than the sum of its proper divisors (236616360).

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

116738040 is a wasteful number, since it uses less digits than its factorization.

116738040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736 (or 8732 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 116738040 is about 10804.5379355158. The cubic root of 116738040 is about 488.7320264276.

The spelling of 116738040 in words is "one hundred sixteen million, seven hundred thirty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 8609 13560 17218 25827 34436 43045 51654 68872 86090 103308 129135 172180 206616 258270 344360 516540 972817 1033080 1945634 2918451 3891268 4864085 5836902 7782536 9728170 11673804 14592255 19456340 23347608 29184510 38912680 58369020 116738040