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116418540 = 223571092543
BaseRepresentation
bin1101111000001…
…10011111101100
322010001200012210
412330012133230
5214300343130
615315130420
72612353440
oct674063754
9263050183
10116418540
115a795a77
1232ba3a10
131b171a14
1411666820
15a3495b0
hex6f067ec

116418540 has 96 divisors (see below), whose sum is σ = 376104960. Its totient is φ = 26355456.

The previous prime is 116418517. The next prime is 116418553. The reversal of 116418540 is 45814611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116418498 and 116418507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44509 + ... + 47051.

It is an arithmetic number, because the mean of its divisors is an integer number (3917760).

Almost surely, 2116418540 is an apocalyptic number.

116418540 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 116418540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188052480).

116418540 is an abundant number, since it is smaller than the sum of its proper divisors (259686420).

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

116418540 is a wasteful number, since it uses less digits than its factorization.

116418540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 116418540 is about 10789.7423509554. The cubic root of 116418540 is about 488.2857492906.

The spelling of 116418540 in words is "one hundred sixteen million, four hundred eighteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 109 140 210 218 327 420 436 545 654 763 1090 1308 1526 1635 2180 2289 2543 3052 3270 3815 4578 5086 6540 7629 7630 9156 10172 11445 12715 15258 15260 17801 22890 25430 30516 35602 38145 45780 50860 53403 71204 76290 89005 106806 152580 178010 213612 267015 277187 356020 534030 554374 831561 1068060 1108748 1385935 1663122 1940309 2771870 3326244 3880618 4157805 5543740 5820927 7761236 8315610 9701545 11641854 16631220 19403090 23283708 29104635 38806180 58209270 116418540