[go: up one dir, main page]

Search a number
-
+
23025072 = 24371729139
BaseRepresentation
bin101011111010…
…1010110110000
31121022210110110
41113311112300
521343300242
62141301320
7366465330
oct127652660
947283413
1023025072
1111aa7094
127864840
134a02305
1430b50c0
15204c39c
hex15f55b0

23025072 has 160 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 5935104.

The previous prime is 23025059. The next prime is 23025073. The reversal of 23025072 is 27052032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (23025073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165579 + ... + 165717.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 223025072 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 23025072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

23025072 is an abundant number, since it is smaller than the sum of its proper divisors (51970128).

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

23025072 is a wasteful number, since it uses less digits than its factorization.

23025072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 23025072 is about 4798.4447480408. Note that the first 3 decimals coincide. The cubic root of 23025072 is about 284.4899958697.

The spelling of 23025072 in words is "twenty-three million, twenty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 34 42 48 51 56 58 68 84 87 102 112 116 119 136 139 168 174 203 204 232 238 272 278 336 348 357 406 408 417 464 476 493 556 609 696 714 812 816 834 952 973 986 1112 1218 1392 1428 1479 1624 1668 1904 1946 1972 2224 2363 2436 2856 2919 2958 3248 3336 3451 3892 3944 4031 4726 4872 5712 5838 5916 6672 6902 7089 7784 7888 8062 9452 9744 10353 11676 11832 12093 13804 14178 15568 16124 16541 18904 20706 23352 23664 24186 27608 28217 28356 32248 33082 37808 41412 46704 48372 49623 55216 56434 56712 64496 66164 68527 82824 84651 96744 99246 112868 113424 132328 137054 165648 169302 193488 198492 205581 225736 264656 274108 338604 396984 411162 451472 479689 548216 677208 793968 822324 959378 1096432 1354416 1439067 1644648 1918756 2878134 3289296 3837512 5756268 7675024 11512536 23025072