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116336430 = 23257199719
BaseRepresentation
bin1101110111100…
…10011100101110
322002220111120200
412323302130232
5214240231210
615313254330
72611562160
oct673623456
9262814520
10116336430
115a73a311
1232b643a6
131b143532
1411644930
15a3300c0
hex6ef272e

116336430 has 96 divisors (see below), whose sum is σ = 363916800. Its totient is φ = 25189056.

The previous prime is 116336419. The next prime is 116336443. The reversal of 116336430 is 34633611.

116336430 is a `hidden beast` number, since 1 + 16 + 3 + 3 + 643 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 116336394 and 116336403.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7111 + ... + 16829.

It is an arithmetic number, because the mean of its divisors is an integer number (3790800).

Almost surely, 2116336430 is an apocalyptic number.

116336430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116336430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181958400).

116336430 is an abundant number, since it is smaller than the sum of its proper divisors (247580370).

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

116336430 is a wasteful number, since it uses less digits than its factorization.

116336430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9758 (or 9755 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 116336430 is about 10785.9366769882. The cubic root of 116336430 is about 488.1709263066.

The spelling of 116336430 in words is "one hundred sixteen million, three hundred thirty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1197 1330 1710 1995 2394 3990 5985 9719 11970 19438 29157 48595 58314 68033 87471 97190 136066 145785 174942 184661 204099 291570 340165 369322 408198 437355 553983 612297 680330 874710 923305 1020495 1107966 1224594 1292627 1661949 1846610 2040990 2585254 2769915 3061485 3323898 3877881 5539830 6122970 6463135 7755762 8309745 11633643 12926270 16619490 19389405 23267286 38778810 58168215 116336430