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12133780 = 2251937863
BaseRepresentation
bin101110010010…
…010110010100
3211211110102021
4232102112110
511101240110
61112022524
7205064311
oct56222624
924743367
1012133780
11693831a
124091a44
13268ab69
14187bd08
1510ea2da
hexb92594

12133780 has 48 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 4468608.

The previous prime is 12133777. The next prime is 12133787. The reversal of 12133780 is 8733121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133787) by changing a digit.

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, 13629 + ... + 14491.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 212133780 is an apocalyptic number.

12133780 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 12133780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

12133780 is an abundant number, since it is smaller than the sum of its proper divisors (15445100).

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

12133780 is a wasteful number, since it uses less digits than its factorization.

12133780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 12133780 is about 3483.3575756732. The cubic root of 12133780 is about 229.7904834287.

The spelling of 12133780 in words is "twelve million, one hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 863 1406 1726 2812 3452 3515 4315 7030 8630 14060 16397 17260 31931 32794 63862 65588 81985 127724 159655 163970 319310 327940 606689 638620 1213378 2426756 3033445 6066890 12133780