Search a number
-
+
12132978 = 23111379179
BaseRepresentation
bin101110010010…
…001001110010
3211211102022120
4232102021302
511101223403
61112015110
7205062054
oct56221162
924742276
1012132978
116937760
124091496
13268a6a0
14187b8d4
1510e9e53
hexb92272

12132978 has 64 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 3332160.

The previous prime is 12132971. The next prime is 12133013. The reversal of 12132978 is 87923121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12132971) 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 31 ways as a sum of consecutive naturals, for example, 67693 + ... + 67871.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 212132978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

12132978 is an abundant number, since it is smaller than the sum of its proper divisors (16897422).

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

12132978 is a wasteful number, since it uses less digits than its factorization.

12132978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287.

The product of its digits is 6048, while the sum is 33.

The square root of 12132978 is about 3483.2424549549. The cubic root of 12132978 is about 229.7854205374.

The spelling of 12132978 in words is "twelve million, one hundred thirty-two thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 79 143 158 179 237 286 358 429 474 537 858 869 1027 1074 1738 1969 2054 2327 2607 3081 3938 4654 5214 5907 6162 6981 11297 11814 13962 14141 22594 25597 28282 33891 42423 51194 67782 76791 84846 153582 155551 183833 311102 367666 466653 551499 933306 1102998 2022163 4044326 6066489 12132978