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23010064 = 2471119983
BaseRepresentation
bin101011111000…
…1101100010000
31121022000212121
41113301230100
521342310224
62141104024
7366403510
oct127615420
947260777
1023010064
1111a96890
127858014
1349c852c
1430ad840
152047be4
hex15f1b10

23010064 has 80 divisors (see below), whose sum is σ = 58567680. Its totient is φ = 8484480.

The previous prime is 23010047. The next prime is 23010067. The reversal of 23010064 is 46001032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (23010067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22917 + ... + 23899.

It is an arithmetic number, because the mean of its divisors is an integer number (732096).

Almost surely, 223010064 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 23010064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29283840).

23010064 is an abundant number, since it is smaller than the sum of its proper divisors (35557616).

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

23010064 is a wasteful number, since it uses less digits than its factorization.

23010064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 23010064 is about 4796.8806530911. The cubic root of 23010064 is about 284.4281711791.

Adding to 23010064 its reverse (46001032), we get a palindrome (69011096).

The spelling of 23010064 in words is "twenty-three million, ten thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 983 1064 1232 1463 1672 1966 2128 2926 3344 3932 5852 6881 7864 10813 11704 13762 15728 18677 21626 23408 27524 37354 43252 55048 74708 75691 86504 110096 130739 149416 151382 173008 205447 261478 298832 302764 410894 522956 605528 821788 1045912 1211056 1438129 1643576 2091824 2876258 3287152 5752516 11505032 23010064