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116267940 = 223351391549
BaseRepresentation
bin1101110111000…
…01101110100100
322002210000122000
412323201232210
5214231033230
615312005300
72611155405
oct673415644
9262700560
10116267940
115a6a2908
1232b30830
131b11b2c9
14116279ac
15a319b60
hex6ee1ba4

116267940 has 96 divisors (see below), whose sum is σ = 364560000. Its totient is φ = 30761856.

The previous prime is 116267911. The next prime is 116267941. The reversal of 116267940 is 49762611.

It is a super-5 number, since 5×1162679405 (a number of 42 digits) contains 55555 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 116267895 and 116267904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116267941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74286 + ... + 75834.

It is an arithmetic number, because the mean of its divisors is an integer number (3797500).

Almost surely, 2116267940 is an apocalyptic number.

116267940 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 116267940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182280000).

116267940 is an abundant number, since it is smaller than the sum of its proper divisors (248292060).

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

116267940 is a wasteful number, since it uses less digits than its factorization.

116267940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1698 counting only the distinct ones).

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

The square root of 116267940 is about 10782.7612419083. The cubic root of 116267940 is about 488.0751082549.

The spelling of 116267940 in words is "one hundred sixteen million, two hundred sixty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 139 180 270 278 417 540 556 695 834 1251 1390 1549 1668 2085 2502 2780 3098 3753 4170 4647 5004 6196 6255 7506 7745 8340 9294 12510 13941 15012 15490 18588 18765 23235 25020 27882 30980 37530 41823 46470 55764 69705 75060 83646 92940 139410 167292 209115 215311 278820 418230 430622 645933 836460 861244 1076555 1291866 1937799 2153110 2583732 3229665 3875598 4306220 5813397 6459330 7751196 9688995 11626794 12918660 19377990 23253588 29066985 38755980 58133970 116267940