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116082960 = 2435729871
BaseRepresentation
bin1101110101101…
…00100100010000
322002102121212220
412322310210100
5214204123320
615304021040
72606455200
oct672644420
9262377786
10116082960
115a586934
1232a61780
131b085056
14115ba400
15a2cee40
hex6eb4910

116082960 has 120 divisors (see below), whose sum is σ = 418651776. Its totient is φ = 26530560.

The previous prime is 116082959. The next prime is 116082961. The reversal of 116082960 is 69280611.

It is an interprime number because it is at equal distance from previous prime (116082959) and next prime (116082961).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116082961) 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, 6825 + ... + 16695.

Almost surely, 2116082960 is an apocalyptic number.

116082960 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 116082960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209325888).

116082960 is an abundant number, since it is smaller than the sum of its proper divisors (302568816).

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

116082960 is a wasteful number, since it uses less digits than its factorization.

116082960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9901 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 116082960 is about 10774.1802472392. The cubic root of 116082960 is about 487.8161315729.

The spelling of 116082960 in words is "one hundred sixteen million, eighty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 9871 11760 19742 29613 39484 49355 59226 69097 78968 98710 118452 138194 148065 157936 197420 207291 236904 276388 296130 345485 394840 414582 473808 483679 552776 592260 690970 789680 829164 967358 1036455 1105552 1184520 1381940 1451037 1658328 1934716 2072910 2369040 2418395 2763880 2902074 3316656 3869432 4145820 4836790 5527760 5804148 7255185 7738864 8291640 9673580 11608296 14510370 16583280 19347160 23216592 29020740 38694320 58041480 116082960