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23485704 = 23311175233
BaseRepresentation
bin101100110010…
…1110100001000
31122012012022220
41121211310020
522003020304
62155214040
7403424304
oct131456410
948165286
1023485704
1112291180
127a47320
134b33b88
143194d04
1520ddad9
hex1665d08

23485704 has 64 divisors (see below), whose sum is σ = 67832640. Its totient is φ = 6696960.

The previous prime is 23485703. The next prime is 23485723. The reversal of 23485704 is 40758432.

23485704 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (23485703) 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 15 ways as a sum of consecutive naturals, for example, 1872 + ... + 7104.

It is an arithmetic number, because the mean of its divisors is an integer number (1059885).

Almost surely, 223485704 is an apocalyptic number.

23485704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23485704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33916320).

23485704 is an abundant number, since it is smaller than the sum of its proper divisors (44346936).

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

23485704 is a wasteful number, since it uses less digits than its factorization.

23485704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 23485704 is about 4846.2051132819. The cubic root of 23485704 is about 286.3746211503.

The spelling of 23485704 in words is "twenty-three million, four hundred eighty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 5233 10466 15699 20932 31398 41864 57563 62796 88961 115126 125592 172689 177922 230252 266883 345378 355844 460504 533766 690756 711688 978571 1067532 1381512 1957142 2135064 2935713 3914284 5871426 7828568 11742852 23485704