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116859424 = 251119101173
BaseRepresentation
bin1101111011100…
…10001000100000
322010220001222211
412331302020200
5214404000144
615332411504
72616201013
oct675621040
9263801884
10116859424
115aa67240
1233176b94
131b2975b6
141173d37a
15a3d5034
hex6f72220

116859424 has 96 divisors (see below), whose sum is σ = 268349760. Its totient is φ = 49536000.

The previous prime is 116859409. The next prime is 116859487. The reversal of 116859424 is 424958611.

It is a super-2 number, since 2×1168594242 = 27312249955223552, which contains 22 as substring.

It is a congruent number.

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, 675402 + ... + 675574.

It is an arithmetic number, because the mean of its divisors is an integer number (2795310).

Almost surely, 2116859424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116859424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134174880).

116859424 is an abundant number, since it is smaller than the sum of its proper divisors (151490336).

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

116859424 is a wasteful number, since it uses less digits than its factorization.

116859424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 116859424 is about 10810.1537454377. The cubic root of 116859424 is about 488.9013619713.

The spelling of 116859424 in words is "one hundred sixteen million, eight hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 101 152 173 176 202 209 304 346 352 404 418 608 692 808 836 1111 1384 1616 1672 1903 1919 2222 2768 3232 3287 3344 3806 3838 4444 5536 6574 6688 7612 7676 8888 13148 15224 15352 17473 17776 21109 26296 30448 30704 34946 35552 36157 42218 52592 60896 61408 69892 72314 84436 105184 139784 144628 168872 192203 279568 289256 331987 337744 384406 559136 578512 663974 675488 768812 1157024 1327948 1537624 2655896 3075248 3651857 5311792 6150496 7303714 10623584 14607428 29214856 58429712 116859424