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116782840 = 2354321579
BaseRepresentation
bin1101111010111…
…11011011111000
322010202011221101
412331133123320
5214344022330
615331021144
72615431516
oct675373370
9263664841
10116782840
115aa14749
123313a7b4
131b26b795
141171d4b6
15a3bc4ca
hex6f5f6f8

116782840 has 48 divisors (see below), whose sum is σ = 269184600. Its totient is φ = 45597888.

The previous prime is 116782819. The next prime is 116782847. The reversal of 116782840 is 48287611.

It is a self number, because there is not a number n which added to its sum of digits gives 116782840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116782847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73171 + ... + 74749.

Almost surely, 2116782840 is an apocalyptic number.

116782840 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 116782840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134592300).

116782840 is an abundant number, since it is smaller than the sum of its proper divisors (152401760).

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

116782840 is a wasteful number, since it uses less digits than its factorization.

116782840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 116782840 is about 10806.6109396054. The cubic root of 116782840 is about 488.7945378835.

The spelling of 116782840 in words is "one hundred sixteen million, seven hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1579 1720 1849 3158 3698 6316 7396 7895 9245 12632 14792 15790 18490 31580 36980 63160 67897 73960 135794 271588 339485 543176 678970 1357940 2715880 2919571 5839142 11678284 14597855 23356568 29195710 58391420 116782840