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23965704 = 2332726793
BaseRepresentation
bin101101101101…
…1000000001000
31200002120202200
41123123000020
522113400304
62213400200
7410463600
oct133330010
950076680
1023965704
1112589874
128039060
134c714b9
14327bc00
152185e39
hex16db008

23965704 has 72 divisors (see below), whose sum is σ = 75515310. Its totient is φ = 6846336.

The previous prime is 23965703. The next prime is 23965709. The reversal of 23965704 is 40756932.

It can be written as a sum of positive squares in only one way, i.e., 23328900 + 636804 = 4830^2 + 798^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (23965703) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 132 + ... + 6924.

Almost surely, 223965704 is an apocalyptic number.

23965704 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 23965704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37757655).

23965704 is an abundant number, since it is smaller than the sum of its proper divisors (51549606).

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

23965704 is a wasteful number, since it uses less digits than its factorization.

23965704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6819 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 23965704 is about 4895.4779133400. The cubic root of 23965704 is about 288.3124502530.

It can be divided in two parts, 2396 and 5704, that added together give a square (8100 = 902).

The spelling of 23965704 in words is "twenty-three million, nine hundred sixty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 6793 13586 20379 27172 40758 47551 54344 61137 81516 95102 122274 142653 163032 190204 244548 285306 332857 380408 427959 489096 570612 665714 855918 998571 1141224 1331428 1711836 1997142 2662856 2995713 3423672 3994284 5991426 7988568 11982852 23965704