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1116960 = 253513179
BaseRepresentation
bin100010000101100100000
32002202011220
410100230200
5241220320
635535040
712331305
oct4205440
92082156
101116960
116a3209
1245a480
13301530
142110ac
15170e40
hex110b20

1116960 has 96 divisors (see below), whose sum is σ = 3810240. Its totient is φ = 273408.

The previous prime is 1116943. The next prime is 1116977. The reversal of 1116960 is 696111.

It is an interprime number because it is at equal distance from previous prime (1116943) and next prime (1116977).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1116960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6151 + ... + 6329.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

21116960 is an apocalyptic number.

1116960 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 1116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905120).

1116960 is an abundant number, since it is smaller than the sum of its proper divisors (2693280).

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

1116960 is a wasteful number, since it uses less digits than its factorization.

1116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1116960 is about 1056.8632834951. The cubic root of 1116960 is about 103.7558374806.

The spelling of 1116960 in words is "one million, one hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 179 195 208 240 260 312 358 390 416 480 520 537 624 716 780 895 1040 1074 1248 1432 1560 1790 2080 2148 2327 2685 2864 3120 3580 4296 4654 5370 5728 6240 6981 7160 8592 9308 10740 11635 13962 14320 17184 18616 21480 23270 27924 28640 34905 37232 42960 46540 55848 69810 74464 85920 93080 111696 139620 186160 223392 279240 372320 558480 1116960