[go: up one dir, main page]

Search a number
-
+
23407272 = 23337113137
BaseRepresentation
bin101100101001…
…0101010101000
31122001012202000
41121102222220
521443013042
62153411000
7402646530
oct131225250
948035660
1023407272
1112238259
127a09a60
134b07275
1431744c0
1520c574c
hex1652aa8

23407272 has 128 divisors (see below), whose sum is σ = 75513600. Its totient is φ = 6580224.

The previous prime is 23407271. The next prime is 23407277. The reversal of 23407272 is 27270432.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23407271) 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 31 ways as a sum of consecutive naturals, for example, 170788 + ... + 170924.

It is an arithmetic number, because the mean of its divisors is an integer number (589950).

Almost surely, 223407272 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 23407272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37756800).

23407272 is an abundant number, since it is smaller than the sum of its proper divisors (52106328).

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

23407272 is a wasteful number, since it uses less digits than its factorization.

23407272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 23407272 is about 4838.1062410824. The cubic root of 23407272 is about 286.0554768741.

The spelling of 23407272 in words is "twenty-three million, four hundred seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 113 126 137 168 189 216 226 252 274 339 378 411 452 504 548 678 756 791 822 904 959 1017 1096 1233 1356 1512 1582 1644 1918 2034 2373 2466 2712 2877 3051 3164 3288 3699 3836 4068 4746 4932 5754 6102 6328 7119 7398 7672 8136 8631 9492 9864 11508 12204 14238 14796 15481 17262 18984 21357 23016 24408 25893 28476 29592 30962 34524 42714 46443 51786 56952 61924 69048 85428 92886 103572 108367 123848 139329 170856 185772 207144 216734 278658 325101 371544 417987 433468 557316 650202 835974 866936 975303 1114632 1300404 1671948 1950606 2600808 2925909 3343896 3901212 5851818 7802424 11703636 23407272