Search a number
-
+
15091956 = 223211231657
BaseRepresentation
bin111001100100…
…100011110100
31001101202021100
4321210203310
512330420311
61255250100
7242164605
oct71444364
931352240
1015091956
1185788a0
125079930
133185469
14200bdac
1514d1a56
hexe648f4

15091956 has 72 divisors (see below), whose sum is σ = 43452864. Its totient is φ = 4371840.

The previous prime is 15091943. The next prime is 15091991. The reversal of 15091956 is 65919051.

15091956 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 15091956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8280 + ... + 9936.

It is an arithmetic number, because the mean of its divisors is an integer number (603512).

Almost surely, 215091956 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 15091956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21726432).

15091956 is an abundant number, since it is smaller than the sum of its proper divisors (28360908).

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

15091956 is a wasteful number, since it uses less digits than its factorization.

15091956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 15091956 is about 3884.8366761036. The cubic root of 15091956 is about 247.1241433128.

It can be divided in two parts, 150919 and 56, that added together give a triangular number (150975 = T549).

The spelling of 15091956 in words is "fifteen million, ninety-one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 1657 2277 3036 3314 4554 4971 6628 9108 9942 14913 18227 19884 29826 36454 38111 54681 59652 72908 76222 109362 114333 152444 164043 218724 228666 328086 342999 419221 457332 656172 685998 838442 1257663 1371996 1676884 2515326 3772989 5030652 7545978 15091956