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116794260 = 223251161967
BaseRepresentation
bin1101111011000…
…10001110010100
322010202202121100
412331202032110
5214344404020
615331150100
72615510022
oct675421624
9263682540
10116794260
115aa22290
1233145330
131b273a3b
1411723712
15a3c0a90
hex6f62394

116794260 has 144 divisors (see below), whose sum is σ = 393224832. Its totient is φ = 27820800.

The previous prime is 116794259. The next prime is 116794261. The reversal of 116794260 is 62497611.

It is an interprime number because it is at equal distance from previous prime (116794259) and next prime (116794261).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116794261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120297 + ... + 121263.

It is an arithmetic number, because the mean of its divisors is an integer number (2730728).

Almost surely, 2116794260 is an apocalyptic number.

116794260 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 116794260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196612416).

116794260 is an abundant number, since it is smaller than the sum of its proper divisors (276430572).

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

116794260 is a wasteful number, since it uses less digits than its factorization.

116794260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 116794260 is about 10807.1393069582. The cubic root of 116794260 is about 488.8104701663.

The spelling of 116794260 in words is "one hundred sixteen million, seven hundred ninety-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 90 99 110 122 132 165 180 183 198 220 244 305 330 366 396 495 549 610 660 671 732 915 967 990 1098 1220 1342 1830 1934 1980 2013 2196 2684 2745 2901 3355 3660 3868 4026 4835 5490 5802 6039 6710 8052 8703 9670 10065 10637 10980 11604 12078 13420 14505 17406 19340 20130 21274 24156 29010 30195 31911 34812 40260 42548 43515 53185 58020 58987 60390 63822 87030 95733 106370 117974 120780 127644 159555 174060 176961 191466 212740 235948 294935 319110 353922 382932 478665 530883 589870 638220 648857 707844 884805 957330 1061766 1179740 1297714 1769610 1914660 1946571 2123532 2595428 2654415 3244285 3539220 3893142 5308830 5839713 6488570 7786284 9732855 10617660 11679426 12977140 19465710 23358852 29198565 38931420 58397130 116794260