Search a number
-
+
23006676 = 22372113557
BaseRepresentation
bin101011111000…
…0110111010100
31121021212020010
41113300313110
521342203201
62141040220
7366360600
oct127606724
947255203
1023006676
1111a94290
127856070
1349c6b24
1430ac500
152046bd6
hex15f0dd4

23006676 has 72 divisors (see below), whose sum is σ = 68142816. Its totient is φ = 5974080.

The previous prime is 23006651. The next prime is 23006707. The reversal of 23006676 is 67660032.

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, 4690 + ... + 8246.

It is an arithmetic number, because the mean of its divisors is an integer number (946428).

Almost surely, 223006676 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 23006676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34071408).

23006676 is an abundant number, since it is smaller than the sum of its proper divisors (45136140).

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

23006676 is a wasteful number, since it uses less digits than its factorization.

23006676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 23006676 is about 4796.5274939272. The cubic root of 23006676 is about 284.4142107668.

The spelling of 23006676 in words is "twenty-three million, six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 3557 6468 7114 10671 14228 21342 24899 39127 42684 49798 74697 78254 99596 117381 149394 156508 174293 234762 273889 298788 348586 469524 522879 547778 697172 821667 1045758 1095556 1643334 1917223 2091516 3286668 3834446 5751669 7668892 11503338 23006676