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23435568 = 2434132107
BaseRepresentation
bin101100101100…
…1100100110000
31122002122120000
41121121210300
521444414233
62154150000
7403125162
oct131314460
948078500
1023435568
1112257542
127a22300
134b17100
143180932
1520cdd13
hex1659930

23435568 has 150 divisors (see below), whose sum is σ = 74134764. Its totient is φ = 7143552.

The previous prime is 23435561. The next prime is 23435591. The reversal of 23435568 is 86553432.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (23435561) 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 29 ways as a sum of consecutive naturals, for example, 218971 + ... + 219077.

Almost surely, 223435568 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 23435568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37067382).

23435568 is an abundant number, since it is smaller than the sum of its proper divisors (50699196).

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

23435568 is a wasteful number, since it uses less digits than its factorization.

23435568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 23435568 is about 4841.0296425451. The cubic root of 23435568 is about 286.1706969986.

The spelling of 23435568 in words is "twenty-three million, four hundred thirty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 107 108 117 144 156 162 169 208 214 216 234 312 321 324 338 351 428 432 468 507 624 642 648 676 702 856 936 963 1014 1053 1284 1296 1352 1391 1404 1521 1712 1872 1926 2028 2106 2568 2704 2782 2808 2889 3042 3852 4056 4173 4212 4563 5136 5564 5616 5778 6084 7704 8112 8346 8424 8667 9126 11128 11556 12168 12519 13689 15408 16692 16848 17334 18083 18252 22256 23112 24336 25038 27378 33384 34668 36166 36504 37557 46224 50076 54249 54756 66768 69336 72332 73008 75114 100152 108498 109512 112671 138672 144664 150228 162747 200304 216996 219024 225342 289328 300456 325494 433992 450684 488241 600912 650988 867984 901368 976482 1301976 1464723 1802736 1952964 2603952 2929446 3905928 5858892 7811856 11717784 23435568