Search a number
-
+
23270976 = 2634672
BaseRepresentation
bin101100011000…
…1011001000000
31121210021210000
41120301121000
521424132401
62150440000
7401541261
oct130613100
947707700
1023270976
1112154913
127963000
134a8a211
14313a968
15209a186
hex1631640

23270976 has 105 divisors (see below), whose sum is σ = 70027419. Its totient is φ = 7641216.

The previous prime is 23270941. The next prime is 23271007. The reversal of 23270976 is 67907232.

The square root of 23270976 is 4824.

It is a perfect power (a square), and thus also a powerful number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23270976.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 347295 + ... + 347361.

Almost surely, 223270976 is an apocalyptic number.

23270976 is the 4824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23270976

23270976 is an abundant number, since it is smaller than the sum of its proper divisors (46756443).

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

23270976 is an frugal number, since it uses more digits than its factorization.

23270976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The cubic root of 23270976 is about 285.4991805711.

Multiplying 23270976 by its sum of digits (36), we get a square (837755136 = 289442).

23270976 divided by its sum of digits (36) gives a square (646416 = 8042).

The spelling of 23270976 in words is "twenty-three million, two hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 81 96 108 134 144 162 192 201 216 268 288 324 402 432 536 576 603 648 804 864 1072 1206 1296 1608 1728 1809 2144 2412 2592 3216 3618 4288 4489 4824 5184 5427 6432 7236 8978 9648 10854 12864 13467 14472 17956 19296 21708 26934 28944 35912 38592 40401 43416 53868 57888 71824 80802 86832 107736 115776 121203 143648 161604 173664 215472 242406 287296 323208 347328 363609 430944 484812 646416 727218 861888 969624 1292832 1454436 1939248 2585664 2908872 3878496 5817744 7756992 11635488 23270976