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23575068 = 223211371609
BaseRepresentation
bin101100111101…
…1101000011100
31122100201220200
41121323220130
522013400233
62201143500
7404245656
oct131735034
948321820
1023575068
1112342330
127a8ab90
134b6575a
1431b96d6
15210a313
hex167ba1c

23575068 has 72 divisors (see below), whose sum is σ = 66808560. Its totient is φ = 6946560.

The previous prime is 23575063. The next prime is 23575081. The reversal of 23575068 is 86057532.

23575068 is a `hidden beast` number, since 23 + 575 + 0 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23575063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13848 + ... + 15456.

Almost surely, 223575068 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 23575068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33404280).

23575068 is an abundant number, since it is smaller than the sum of its proper divisors (43233492).

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

23575068 is a wasteful number, since it uses less digits than its factorization.

23575068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 23575068 is about 4855.4163570182. The cubic root of 23575068 is about 286.7373835512.

The spelling of 23575068 in words is "twenty-three million, five hundred seventy-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1609 1628 2442 3218 3663 4827 4884 6436 7326 9654 14481 14652 17699 19308 28962 35398 53097 57924 59533 70796 106194 119066 159291 178599 212388 238132 318582 357198 535797 637164 654863 714396 1071594 1309726 1964589 2143188 2619452 3929178 5893767 7858356 11787534 23575068