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12114680 = 235418389
BaseRepresentation
bin101110001101…
…101011111000
3211210111012212
4232031223320
511100132210
61111354252
7204654524
oct56155370
924714185
1012114680
116924a36
124082988
132682266
141874d84
1510e4805
hexb8daf8

12114680 has 64 divisors (see below), whose sum is σ = 28576800. Its totient is φ = 4618240.

The previous prime is 12114679. The next prime is 12114689. The reversal of 12114680 is 8641121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136076 + ... + 136164.

Almost surely, 212114680 is an apocalyptic number.

12114680 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 12114680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288400).

12114680 is an abundant number, since it is smaller than the sum of its proper divisors (16462120).

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

12114680 is a wasteful number, since it uses less digits than its factorization.

12114680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 12114680 is about 3480.6148882058. The cubic root of 12114680 is about 229.6698476723.

The spelling of 12114680 in words is "twelve million, one hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 83 89 164 166 178 205 328 332 356 410 415 445 664 712 820 830 890 1640 1660 1780 3320 3403 3560 3649 6806 7298 7387 13612 14596 14774 17015 18245 27224 29192 29548 34030 36490 36935 59096 68060 72980 73870 136120 145960 147740 295480 302867 605734 1211468 1514335 2422936 3028670 6057340 12114680