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12116680 = 23519107149
BaseRepresentation
bin101110001110…
…001011001000
3211210120221221
4232032023020
511100213210
61111411424
7204663412
oct56161310
924716857
1012116680
116926494
124083b74
132683144
1418759b2
1510e51da
hexb8e2c8

12116680 has 64 divisors (see below), whose sum is σ = 29160000. Its totient is φ = 4518144.

The previous prime is 12116677. The next prime is 12116707. The reversal of 12116680 is 8661121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81246 + ... + 81394.

It is an arithmetic number, because the mean of its divisors is an integer number (455625).

Almost surely, 212116680 is an apocalyptic number.

12116680 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 12116680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14580000).

12116680 is an abundant number, since it is smaller than the sum of its proper divisors (17043320).

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

12116680 is a wasteful number, since it uses less digits than its factorization.

12116680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 12116680 is about 3480.9021819063. The cubic root of 12116680 is about 229.6824856295.

The spelling of 12116680 in words is "twelve million, one hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 107 149 152 190 214 298 380 428 535 596 745 760 856 1070 1192 1490 2033 2140 2831 2980 4066 4280 5662 5960 8132 10165 11324 14155 15943 16264 20330 22648 28310 31886 40660 56620 63772 79715 81320 113240 127544 159430 302917 318860 605834 637720 1211668 1514585 2423336 3029170 6058340 12116680