Search a number
-
+
15057396 = 22324371137
BaseRepresentation
bin111001011100…
…000111110100
31001022222212100
4321130013310
512323314041
61254422100
7241662054
oct71340764
931288770
1015057396
118554932
125061930
133172803
141ddd564
1514c66b6
hexe5c1f4

15057396 has 72 divisors (see below), whose sum is σ = 39783744. Its totient is φ = 4798080.

The previous prime is 15057391. The next prime is 15057397. The reversal of 15057396 is 69375051.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 15057396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15057391) 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 23 ways as a sum of consecutive naturals, for example, 109840 + ... + 109976.

It is an arithmetic number, because the mean of its divisors is an integer number (552552).

Almost surely, 215057396 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 15057396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891872).

15057396 is an abundant number, since it is smaller than the sum of its proper divisors (24726348).

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

15057396 is a wasteful number, since it uses less digits than its factorization.

15057396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 15057396 is about 3880.3860632674. The cubic root of 15057396 is about 246.9353642060.

The spelling of 15057396 in words is "fifteen million, fifty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 71 86 129 137 142 172 213 258 274 284 387 411 426 516 548 639 774 822 852 1233 1278 1548 1644 2466 2556 3053 4932 5891 6106 9159 9727 11782 12212 17673 18318 19454 23564 27477 29181 35346 36636 38908 53019 54954 58362 70692 87543 106038 109908 116724 175086 212076 350172 418261 836522 1254783 1673044 2509566 3764349 5019132 7528698 15057396