Search a number
-
+
23650956 = 22327127739
BaseRepresentation
bin101101000111…
…0001010001100
31122111121000100
41122032022030
522023312311
62202531100
7405013140
oct132161214
948447010
1023650956
111239434a
127b06a90
134b91164
1431d9220
152122a56
hex168e28c

23650956 has 72 divisors (see below), whose sum is σ = 68956160. Its totient is φ = 6695136.

The previous prime is 23650937. The next prime is 23650967. The reversal of 23650956 is 65905632.

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 23650956.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31635 + ... + 32373.

Almost surely, 223650956 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 23650956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34478080).

23650956 is an abundant number, since it is smaller than the sum of its proper divisors (45305204).

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

23650956 is a wasteful number, since it uses less digits than its factorization.

23650956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 23650956 is about 4863.2248559983. The cubic root of 23650956 is about 287.0447226417.

The spelling of 23650956 in words is "twenty-three million, six hundred fifty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 739 762 889 1143 1478 1524 1778 2217 2286 2667 2956 3556 4434 4572 5173 5334 6651 8001 8868 10346 10668 13302 15519 16002 20692 26604 31038 32004 46557 62076 93114 93853 186228 187706 281559 375412 563118 656971 844677 1126236 1313942 1689354 1970913 2627884 3378708 3941826 5912739 7883652 11825478 23650956