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116042160 = 24351322861
BaseRepresentation
bin1101110101010…
…10100110110000
322002100112220210
412322222212300
5214201322120
615303104120
72606225223
oct672524660
9262315823
10116042160
115a559213
1232a42040
131b06c600
14115a95ba
15a2c2ce0
hex6eaa9b0

116042160 has 120 divisors (see below), whose sum is σ = 389667024. Its totient is φ = 28554240.

The previous prime is 116042149. The next prime is 116042161. The reversal of 116042160 is 61240611.

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

It is not an unprimeable number, because it can be changed into a prime (116042161) 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, 39130 + ... + 41990.

Almost surely, 2116042160 is an apocalyptic number.

116042160 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 116042160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194833512).

116042160 is an abundant number, since it is smaller than the sum of its proper divisors (273624864).

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

116042160 is a wasteful number, since it uses less digits than its factorization.

116042160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 116042160 is about 10772.2866653278. The cubic root of 116042160 is about 487.7589735128.

Adding to 116042160 its reverse (61240611), we get a palindrome (177282771).

The spelling of 116042160 in words is "one hundred sixteen million, forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 2861 3120 3380 4056 5070 5722 6760 8112 8583 10140 11444 13520 14305 17166 20280 22888 28610 34332 37193 40560 42915 45776 57220 68664 74386 85830 111579 114440 137328 148772 171660 185965 223158 228880 297544 343320 371930 446316 483509 557895 595088 686640 743860 892632 967018 1115790 1450527 1487720 1785264 1934036 2231580 2417545 2901054 2975440 3868072 4463160 4835090 5802108 7252635 7736144 8926320 9670180 11604216 14505270 19340360 23208432 29010540 38680720 58021080 116042160