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116961020 = 225112172843
BaseRepresentation
bin1101111100010…
…10111011111100
322011002020100122
412332022323330
5214420223040
615334514112
72620103141
oct676127374
9264066318
10116961020
1160026600
1233205938
131b301907
14117683c8
15a4051b5
hex6f8aefc

116961020 has 72 divisors (see below), whose sum is σ = 285958512. Its totient is φ = 40015360.

The previous prime is 116961011. The next prime is 116961023. The reversal of 116961020 is 20169611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116961023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39719 + ... + 42561.

It is an arithmetic number, because the mean of its divisors is an integer number (3971646).

Almost surely, 2116961020 is an apocalyptic number.

116961020 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 116961020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142979256).

116961020 is an abundant number, since it is smaller than the sum of its proper divisors (168997492).

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

116961020 is a wasteful number, since it uses less digits than its factorization.

116961020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 116961020 is about 10814.8518251523. The cubic root of 116961020 is about 489.0430023393.

The spelling of 116961020 in words is "one hundred sixteen million, nine hundred sixty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 2843 3740 4114 5686 8228 10285 11372 14215 20570 28430 31273 41140 48331 56860 62546 96662 125092 156365 193324 241655 312730 344003 483310 531641 625460 688006 966620 1063282 1376012 1720015 2126564 2658205 3440030 5316410 5848051 6880060 10632820 11696102 23392204 29240255 58480510 116961020