Search a number
-
+
15137052 = 2237315813
BaseRepresentation
bin111001101111…
…100100011100
31001111001010120
4321233210130
512333341202
61300234540
7242443230
oct71574434
931431116
1015137052
1185a9767
12509ba50
13319cb48
1420205c0
1514e00bc
hexe6f91c

15137052 has 48 divisors (see below), whose sum is σ = 41674752. Its totient is φ = 4184640.

The previous prime is 15137009. The next prime is 15137063. The reversal of 15137052 is 25073151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303 + ... + 5510.

It is an arithmetic number, because the mean of its divisors is an integer number (868224).

Almost surely, 215137052 is an apocalyptic number.

15137052 is a gapful number since it is divisible by the number (12) 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 15137052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20837376).

15137052 is an abundant number, since it is smaller than the sum of its proper divisors (26537700).

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

15137052 is a wasteful number, since it uses less digits than its factorization.

15137052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 15137052 is about 3890.6364517904. The cubic root of 15137052 is about 247.3700409447.

The spelling of 15137052 in words is "fifteen million, one hundred thirty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 5813 11626 17439 23252 34878 40691 69756 81382 122073 162764 180203 244146 360406 488292 540609 720812 1081218 1261421 2162436 2522842 3784263 5045684 7568526 15137052