Search a number
-
+
23032680 = 23351117449
BaseRepresentation
bin101011111011…
…1001101101000
31121100011220020
41113313031220
521344021210
62141400440
7366526446
oct127671550
947304806
1023032680
1112001880
127869120
134a05908
1430b7b96
15204e770
hex15f7368

23032680 has 64 divisors (see below), whose sum is σ = 75384000. Its totient is φ = 5583360.

The previous prime is 23032631. The next prime is 23032703. The reversal of 23032680 is 8623032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23032680.

It is a congruent number.

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, 7405 + ... + 10044.

It is an arithmetic number, because the mean of its divisors is an integer number (1177875).

Almost surely, 223032680 is an apocalyptic number.

23032680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23032680 is an abundant number, since it is smaller than the sum of its proper divisors (52351320).

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

23032680 is a wasteful number, since it uses less digits than its factorization.

23032680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17474 (or 17470 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23032680 is about 4799.2374394272. The cubic root of 23032680 is about 284.5213263768.

The spelling of 23032680 in words is "twenty-three million, thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 17449 34898 52347 69796 87245 104694 139592 174490 191939 209388 261735 348980 383878 418776 523470 575817 697960 767756 959695 1046940 1151634 1535512 1919390 2093880 2303268 2879085 3838780 4606536 5758170 7677560 11516340 23032680