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116862648 = 23372432311
BaseRepresentation
bin1101111011100…
…10111010111000
322010220020102020
412331302322320
5214404101043
615332434440
72616213300
oct675627270
9263806366
10116862648
115aa69701
1233178a20
131b298bc6
1411740600
15a3d5e83
hex6f72eb8

116862648 has 96 divisors (see below), whose sum is σ = 347909760. Its totient is φ = 32598720.

The previous prime is 116862643. The next prime is 116862649. The reversal of 116862648 is 846268611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116862643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49413 + ... + 51723.

It is an arithmetic number, because the mean of its divisors is an integer number (3624060).

Almost surely, 2116862648 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 116862648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173954880).

116862648 is an abundant number, since it is smaller than the sum of its proper divisors (231047112).

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

116862648 is a wasteful number, since it uses less digits than its factorization.

116862648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2366 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 116862648 is about 10810.3028634724. The cubic root of 116862648 is about 488.9058579816.

The spelling of 116862648 in words is "one hundred sixteen million, eight hundred sixty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 294 301 344 392 516 588 602 903 1032 1176 1204 1806 2107 2311 2408 3612 4214 4622 6321 6933 7224 8428 9244 12642 13866 16177 16856 18488 25284 27732 32354 48531 50568 55464 64708 97062 99373 113239 129416 194124 198746 226478 298119 339717 388248 397492 452956 596238 679434 695611 794984 905912 1192476 1358868 1391222 2086833 2384952 2717736 2782444 4173666 4869277 5564888 8347332 9738554 14607831 16694664 19477108 29215662 38954216 58431324 116862648