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116600960 = 2757171531
BaseRepresentation
bin1101111001100…
…11000010000000
322010101221110002
412330303002000
5214322212320
615323055132
72614043330
oct674630200
9263357402
10116600960
115a900033
12330714a8
131b206a68
14116b30c0
15a383675
hex6f33080

116600960 has 128 divisors (see below), whose sum is σ = 337530240. Its totient is φ = 37601280.

The previous prime is 116600927. The next prime is 116600963. The reversal of 116600960 is 69006611.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (116600963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75395 + ... + 76925.

It is an arithmetic number, because the mean of its divisors is an integer number (2636955).

Almost surely, 2116600960 is an apocalyptic number.

116600960 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 116600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168765120).

116600960 is an abundant number, since it is smaller than the sum of its proper divisors (220929280).

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

116600960 is a wasteful number, since it uses less digits than its factorization.

116600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 116600960 is about 10798.1924413302. The cubic root of 116600960 is about 488.5406531430.

The spelling of 116600960 in words is "one hundred sixteen million, six hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1360 1531 1904 2176 2240 2380 2720 3062 3808 4480 4760 5440 6124 7616 7655 9520 10717 10880 12248 15232 15310 19040 21434 24496 26027 30620 38080 42868 48992 52054 53585 61240 76160 85736 97984 104108 107170 122480 130135 171472 182189 195968 208216 214340 244960 260270 342944 364378 416432 428680 489920 520540 685888 728756 832864 857360 910945 979840 1041080 1371776 1457512 1665728 1714720 1821890 2082160 2915024 3331456 3429440 3643780 4164320 5830048 6858880 7287560 8328640 11660096 14575120 16657280 23320192 29150240 58300480 116600960