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23739012 = 223211151397
BaseRepresentation
bin101101010001…
…1101010000100
31122200001210200
41122203222010
522034122022
62204450500
7405530643
oct132435204
948601720
1023739012
1112444520
127b49a30
134bc226b
14321d35a
15213dbac
hex16a3a84

23739012 has 72 divisors (see below), whose sum is σ = 66061632. Its totient is φ = 7128000.

The previous prime is 23739007. The next prime is 23739017. The reversal of 23739012 is 21093732.

It is an interprime number because it is at equal distance from previous prime (23739007) and next prime (23739017).

It is a super-2 number, since 2×237390122 = 1127081381472288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23739017) 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 23 ways as a sum of consecutive naturals, for example, 59598 + ... + 59994.

Almost surely, 223739012 is an apocalyptic number.

23739012 is a gapful number since it is divisible by the number (22) 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 23739012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33030816).

23739012 is an abundant number, since it is smaller than the sum of its proper divisors (42322620).

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

23739012 is a wasteful number, since it uses less digits than its factorization.

23739012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 23739012 is about 4872.2696969688. The cubic root of 23739012 is about 287.4005180698.

The spelling of 23739012 in words is "twenty-three million, seven hundred thirty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 151 198 302 396 397 453 604 794 906 1191 1359 1588 1661 1812 2382 2718 3322 3573 4367 4764 4983 5436 6644 7146 8734 9966 13101 14292 14949 17468 19932 26202 29898 39303 52404 59796 59947 78606 119894 157212 179841 239788 359682 539523 659417 719364 1079046 1318834 1978251 2158092 2637668 3956502 5934753 7913004 11869506 23739012