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116883424 = 257323463
BaseRepresentation
bin1101111011101…
…11111111100000
322010221021220201
412331313333200
5214410232144
615333114544
72616331000
oct675677740
9263837821
10116883424
115aa83279
1233188a54
131b2a54b8
1411748000
15a3dc1d4
hex6f77fe0

116883424 has 96 divisors (see below), whose sum is σ = 280627200. Its totient is φ = 47811456.

The previous prime is 116883419. The next prime is 116883457. The reversal of 116883424 is 424388611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252217 + ... + 252679.

It is an arithmetic number, because the mean of its divisors is an integer number (2923200).

Almost surely, 2116883424 is an apocalyptic number.

116883424 is a gapful number since it is divisible by the number (14) 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 116883424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140313600).

116883424 is an abundant number, since it is smaller than the sum of its proper divisors (163743776).

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

116883424 is an equidigital number, since it uses as much as digits as its factorization.

116883424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 495 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 116883424 is about 10811.2637559168. The cubic root of 116883424 is about 488.9348290469.

The spelling of 116883424 in words is "one hundred sixteen million, eight hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 343 368 392 463 644 686 736 784 926 1127 1288 1372 1568 1852 2254 2576 2744 3241 3704 4508 5152 5488 6482 7408 7889 9016 10649 10976 12964 14816 15778 18032 21298 22687 25928 31556 36064 42596 45374 51856 63112 74543 85192 90748 103712 126224 149086 158809 170384 181496 252448 298172 317618 340768 362992 521801 596344 635236 725984 1043602 1192688 1270472 2087204 2385376 2540944 3652607 4174408 5081888 7305214 8348816 14610428 16697632 29220856 58441712 116883424