Search a number
-
+
12191640 = 2335283359
BaseRepresentation
bin101110100000…
…011110011000
3211221101210020
4232200132120
511110113030
61113150440
7205425066
oct56403630
924841706
1012191640
11697783a
1240bb420
1326ab2b6
141895036
15110c510
hexba0798

12191640 has 64 divisors (see below), whose sum is σ = 36806400. Its totient is φ = 3230592.

The previous prime is 12191593. The next prime is 12191651. The reversal of 12191640 is 4619121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12191640.

It is a congruent number.

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, 33781 + ... + 34139.

It is an arithmetic number, because the mean of its divisors is an integer number (575100).

Almost surely, 212191640 is an apocalyptic number.

12191640 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 12191640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18403200).

12191640 is an abundant number, since it is smaller than the sum of its proper divisors (24614760).

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

12191640 is a wasteful number, since it uses less digits than its factorization.

12191640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 12191640 is about 3491.6529037119. The cubic root of 12191640 is about 230.1551568082.

The spelling of 12191640 in words is "twelve million, one hundred ninety-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 283 359 566 718 849 1077 1132 1415 1436 1698 1795 2154 2264 2830 2872 3396 3590 4245 4308 5385 5660 6792 7180 8490 8616 10770 11320 14360 16980 21540 33960 43080 101597 203194 304791 406388 507985 609582 812776 1015970 1219164 1523955 2031940 2438328 3047910 4063880 6095820 12191640