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12188940 = 2235533833
BaseRepresentation
bin101110011111…
…110100001100
3211221021002020
4232133310030
511110021230
61113130140
7205414161
oct56376414
924837066
1012188940
116975805
1240b9950
1326a9cba
141894068
15110b810
hexb9fd0c

12188940 has 48 divisors (see below), whose sum is σ = 34782048. Its totient is φ = 3188224.

The previous prime is 12188927. The next prime is 12188941. The reversal of 12188940 is 4988121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12188941) 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, 1264 + ... + 5096.

It is an arithmetic number, because the mean of its divisors is an integer number (724626).

Almost surely, 212188940 is an apocalyptic number.

12188940 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 12188940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17391024).

12188940 is an abundant number, since it is smaller than the sum of its proper divisors (22593108).

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

12188940 is a wasteful number, since it uses less digits than its factorization.

12188940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 12188940 is about 3491.2662459343. The cubic root of 12188940 is about 230.1381652521.

The spelling of 12188940 in words is "twelve million, one hundred eighty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 3833 7666 11499 15332 19165 22998 38330 45996 57495 76660 114990 203149 229980 406298 609447 812596 1015745 1218894 2031490 2437788 3047235 4062980 6094470 12188940