Search a number
-
+
23082672 = 2433741317
BaseRepresentation
bin101100000001…
…1011010110000
31121102201110210
41120003122300
521402121142
62142424120
7400125264
oct130033260
947381423
1023082672
1112036398
127892040
134a225b2
1430cc0a4
15205e49c
hex16036b0

23082672 has 80 divisors (see below), whose sum is σ = 62933472. Its totient is φ = 7280640.

The previous prime is 23082671. The next prime is 23082677. The reversal of 23082672 is 27628032.

It is not an unprimeable number, because it can be changed into a prime (23082671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72658 + ... + 72974.

Almost surely, 223082672 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 23082672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31466736).

23082672 is an abundant number, since it is smaller than the sum of its proper divisors (39850800).

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

23082672 is a wasteful number, since it uses less digits than its factorization.

23082672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 23082672 is about 4804.4429437761. The cubic root of 23082672 is about 284.7270270264.

The spelling of 23082672 in words is "twenty-three million, eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 41 48 74 82 111 123 148 164 222 246 296 317 328 444 492 592 634 656 888 951 984 1268 1517 1776 1902 1968 2536 3034 3804 4551 5072 6068 7608 9102 11729 12136 12997 15216 18204 23458 24272 25994 35187 36408 38991 46916 51988 70374 72816 77982 93832 103976 140748 155964 187664 207952 281496 311928 480889 562992 623856 961778 1442667 1923556 2885334 3847112 5770668 7694224 11541336 23082672