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116965984 = 25171271693
BaseRepresentation
bin1101111100011…
…00001001100000
322011002111011111
412332030021200
5214420402414
615334553104
72620123462
oct676141140
9264074144
10116965984
116002a303
1233208794
131b303c55
141176a132
15a4068c4
hex6f8c260

116965984 has 48 divisors (see below), whose sum is σ = 245887488. Its totient is φ = 54577152.

The previous prime is 116965949. The next prime is 116965993. The reversal of 116965984 is 489569611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68242 + ... + 69934.

It is an arithmetic number, because the mean of its divisors is an integer number (5122656).

Almost surely, 2116965984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116965984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122943744).

116965984 is an abundant number, since it is smaller than the sum of its proper divisors (128921504).

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

116965984 is a wasteful number, since it uses less digits than its factorization.

116965984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1839 counting only the distinct ones).

The product of its digits is 466560, while the sum is 49.

The square root of 116965984 is about 10815.0813219319. The cubic root of 116965984 is about 489.0499208127.

The spelling of 116965984 in words is "one hundred sixteen million, nine hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 68 127 136 254 272 508 544 1016 1693 2032 2159 3386 4064 4318 6772 8636 13544 17272 27088 28781 34544 54176 57562 69088 115124 215011 230248 430022 460496 860044 920992 1720088 3440176 3655187 6880352 7310374 14620748 29241496 58482992 116965984