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116583740 = 22572139151
BaseRepresentation
bin1101111001011…
…10110100111100
322010101001211022
412330232310330
5214321134430
615322443312
72613642200
oct674566474
9263331738
10116583740
115a8990a9
1233063538
131b1cbc80
14116aab00
15a37d4e5
hex6f2ed3c

116583740 has 72 divisors (see below), whose sum is σ = 306738432. Its totient is φ = 36892800.

The previous prime is 116583737. The next prime is 116583767. The reversal of 116583740 is 47385611.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 116583740.

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 23 ways as a sum of consecutive naturals, for example, 8165 + ... + 17315.

It is an arithmetic number, because the mean of its divisors is an integer number (4260256).

Almost surely, 2116583740 is an apocalyptic number.

116583740 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 116583740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153369216).

116583740 is an abundant number, since it is smaller than the sum of its proper divisors (190154692).

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

116583740 is a wasteful number, since it uses less digits than its factorization.

116583740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9187 (or 9178 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 116583740 is about 10797.3950562161. The cubic root of 116583740 is about 488.5166022140.

The spelling of 116583740 in words is "one hundred sixteen million, five hundred eighty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 9151 12740 18302 36604 45755 64057 91510 118963 128114 183020 237926 256228 320285 448399 475852 594815 640570 832741 896798 1189630 1281140 1665482 1793596 2241995 2379260 3330964 4163705 4483990 5829187 8327410 8967980 11658374 16654820 23316748 29145935 58291870 116583740