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116656720 = 24517312767
BaseRepresentation
bin1101111010000…
…00101001010000
322010111202221021
412331000221100
5214331003340
615324205224
72614365025
oct675005120
9263452837
10116656720
115a938a14
1233099814
131b22625b
14116c954c
15a394e4a
hex6f40a50

116656720 has 80 divisors (see below), whose sum is σ = 296552448. Its totient is φ = 42485760.

The previous prime is 116656699. The next prime is 116656741. The reversal of 116656720 is 27656611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116656699) and next prime (116656741).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1166567203 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40777 + ... + 43543.

Almost surely, 2116656720 is an apocalyptic number.

116656720 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 116656720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148276224).

116656720 is an abundant number, since it is smaller than the sum of its proper divisors (179895728).

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

116656720 is a wasteful number, since it uses less digits than its factorization.

116656720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 116656720 is about 10800.7740463358. The cubic root of 116656720 is about 488.6185160972.

The spelling of 116656720 in words is "one hundred sixteen million, six hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2480 2635 2767 4216 5270 5534 8432 10540 11068 13835 21080 22136 27670 42160 44272 47039 55340 85777 94078 110680 171554 188156 221360 235195 343108 376312 428885 470390 686216 752624 857770 940780 1372432 1458209 1715540 1881560 2916418 3431080 3763120 5832836 6862160 7291045 11665672 14582090 23331344 29164180 58328360 116656720