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116352320 = 2657127409
BaseRepresentation
bin1101110111101…
…10010101000000
322002221022101012
412323312111000
5214241233240
615313500052
72611656410
oct673662500
9262838335
10116352320
115a750247
1232b71628
131b14a836
141164a640
15a334b65
hex6ef6540

116352320 has 112 divisors (see below), whose sum is σ = 319918080. Its totient is φ = 39481344.

The previous prime is 116352317. The next prime is 116352323. The reversal of 116352320 is 23253611.

It is an interprime number because it is at equal distance from previous prime (116352317) and next prime (116352323).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116352323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284276 + ... + 284684.

Almost surely, 2116352320 is an apocalyptic number.

116352320 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 116352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159959040).

116352320 is an abundant number, since it is smaller than the sum of its proper divisors (203565760).

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

116352320 is a wasteful number, since it uses less digits than its factorization.

116352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 116352320 is about 10786.6732591657. The cubic root of 116352320 is about 488.1931511674.

The spelling of 116352320 in words is "one hundred sixteen million, three hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 140 160 224 254 280 320 409 448 508 560 635 818 889 1016 1120 1270 1636 1778 2032 2045 2240 2540 2863 3272 3556 4064 4090 4445 5080 5726 6544 7112 8128 8180 8890 10160 11452 13088 14224 14315 16360 17780 20320 22904 26176 28448 28630 32720 35560 40640 45808 51943 56896 57260 65440 71120 91616 103886 114520 130880 142240 183232 207772 229040 259715 284480 363601 415544 458080 519430 727202 831088 916160 1038860 1454404 1662176 1818005 2077720 2908808 3324352 3636010 4155440 5817616 7272020 8310880 11635232 14544040 16621760 23270464 29088080 58176160 116352320