Search a number
-
+
23934528 = 263919
BaseRepresentation
bin101101101001…
…1011001000000
31200001000000000
41123103121000
522111401103
62213000000
7410303652
oct133233100
950030000
1023934528
1112568402
128023000
134c60257
1432706d2
15217baa3
hex16d3640

23934528 has 140 divisors (see below), whose sum is σ = 74990960. Its totient is φ = 7558272.

The previous prime is 23934527. The next prime is 23934539. The reversal of 23934528 is 82543932.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 23934528 = 363 + 2883 = 1623 + 2703.

Its product of digits (51840) is a multiple of the sum of its prime divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 23934492 and 23934501.

It is not an unprimeable number, because it can be changed into a prime (23934527) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1259703 + ... + 1259721.

Almost surely, 223934528 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 23934528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37495480).

23934528 is an abundant number, since it is smaller than the sum of its proper divisors (51056432).

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

23934528 is an frugal number, since it uses more digits than its factorization.

23934528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 24 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 23934528 is about 4892.2927140554. The cubic root of 23934528 is about 288.1873780620.

The spelling of 23934528 in words is "twenty-three million, nine hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 243 288 304 324 342 432 456 486 513 576 608 648 684 729 864 912 972 1026 1216 1296 1368 1458 1539 1728 1824 1944 2052 2187 2592 2736 2916 3078 3648 3888 4104 4374 4617 5184 5472 5832 6156 6561 7776 8208 8748 9234 10944 11664 12312 13122 13851 15552 16416 17496 18468 19683 23328 24624 26244 27702 32832 34992 36936 39366 41553 46656 49248 52488 55404 69984 73872 78732 83106 98496 104976 110808 124659 139968 147744 157464 166212 209952 221616 249318 295488 314928 332424 373977 419904 443232 498636 629856 664848 747954 886464 997272 1259712 1329696 1495908 1994544 2659392 2991816 3989088 5983632 7978176 11967264 23934528