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116822520 = 23335234703
BaseRepresentation
bin1101111011010…
…01000111111000
322010211012101000
412331221013320
5214401310040
615331525000
72615655303
oct675510770
9263735330
10116822520
115aa41541
1233159760
131b283869
141172db3a
15a3c9130
hex6f691f8

116822520 has 128 divisors (see below), whose sum is σ = 406425600. Its totient is φ = 29791872.

The previous prime is 116822513. The next prime is 116822561. The reversal of 116822520 is 25228611.

It is a happy number.

116822520 is a `hidden beast` number, since 116 + 8 + 22 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22489 + ... + 27191.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2116822520 is an apocalyptic number.

116822520 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 116822520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

116822520 is an abundant number, since it is smaller than the sum of its proper divisors (289603080).

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

116822520 is a wasteful number, since it uses less digits than its factorization.

116822520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 116822520 is about 10808.4466969126. The cubic root of 116822520 is about 488.8498918236.

The spelling of 116822520 in words is "one hundred sixteen million, eight hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 2070 2484 2760 3105 4140 4703 4968 6210 8280 9406 12420 14109 18812 23515 24840 28218 37624 42327 47030 56436 70545 84654 94060 108169 112872 126981 141090 169308 188120 211635 216338 253962 282180 324507 338616 423270 432676 507924 540845 564360 634905 649014 846540 865352 973521 1015848 1081690 1269810 1298028 1622535 1693080 1947042 2163380 2539620 2596056 2920563 3245070 3894084 4326760 4867605 5079240 5841126 6490140 7788168 9735210 11682252 12980280 14602815 19470420 23364504 29205630 38940840 58411260 116822520