Search a number
-
+
23191728 = 2437233001
BaseRepresentation
bin101100001111…
…0000010110000
31121122021001220
41120132002300
521414113403
62145025040
7401061240
oct130360260
947567056
1023191728
111210031a
127925180
134a60121
143119b20
152081953
hex161e0b0

23191728 has 80 divisors (see below), whose sum is σ = 71471616. Its totient is φ = 6336000.

The previous prime is 23191717. The next prime is 23191739. The reversal of 23191728 is 82719132.

It is an interprime number because it is at equal distance from previous prime (23191717) and next prime (23191739).

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, 6228 + ... + 9228.

Almost surely, 223191728 is an apocalyptic number.

23191728 is a gapful number since it is divisible by the number (28) 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 23191728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35735808).

23191728 is an abundant number, since it is smaller than the sum of its proper divisors (48279888).

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

23191728 is a wasteful number, since it uses less digits than its factorization.

23191728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 3036 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 23191728 is about 4815.7790646997. The cubic root of 23191728 is about 285.1747281895.

The spelling of 23191728 in words is "twenty-three million, one hundred ninety-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3001 3864 6002 7728 9003 12004 18006 21007 24008 36012 42014 48016 63021 69023 72024 84028 126042 138046 144048 168056 207069 252084 276092 336112 414138 483161 504168 552184 828276 966322 1008336 1104368 1449483 1656552 1932644 2898966 3313104 3865288 5797932 7730576 11595864 23191728