Search a number
-
+
15314152 = 2371937389
BaseRepresentation
bin111010011010…
…110011101000
31001211001001211
4322122303220
512410023102
61304122504
7244111450
oct72326350
931731054
1015314152
11870a827
125166434
133232639
142068d60
1515277d7
hexe9ace8

15314152 has 64 divisors (see below), whose sum is σ = 35568000. Its totient is φ = 6034176.

The previous prime is 15314147. The next prime is 15314153. The reversal of 15314152 is 25141351.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15314153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39174 + ... + 39562.

It is an arithmetic number, because the mean of its divisors is an integer number (555750).

Almost surely, 215314152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15314152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17784000).

15314152 is an abundant number, since it is smaller than the sum of its proper divisors (20253848).

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

15314152 is a wasteful number, since it uses less digits than its factorization.

15314152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its digits is 600, while the sum is 22.

The square root of 15314152 is about 3913.3300397488. The cubic root of 15314152 is about 248.3310269093.

The spelling of 15314152 in words is "fifteen million, three hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 37 38 56 74 76 133 148 152 259 266 296 389 518 532 703 778 1036 1064 1406 1556 2072 2723 2812 3112 4921 5446 5624 7391 9842 10892 14393 14782 19684 21784 28786 29564 39368 51737 57572 59128 100751 103474 115144 201502 206948 273467 403004 413896 546934 806008 1093868 1914269 2187736 3828538 7657076 15314152