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23993460 = 22325177841
BaseRepresentation
bin101101110000…
…1110001110100
31200010222211200
41123201301310
522120242320
62214132500
7410640531
oct133416164
950128750
1023993460
11125a8707
128051130
134c8101a
143287d88
15218e290
hex16e1c74

23993460 has 72 divisors (see below), whose sum is σ = 77071176. Its totient is φ = 6021120.

The previous prime is 23993423. The next prime is 23993461. The reversal of 23993460 is 6439932.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3526884 + 20466576 = 1878^2 + 4524^2 .

It is a super-2 number, since 2×239934602 = 1151372245543200, which contains 22 as substring.

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 (23993461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861 + ... + 6980.

It is an arithmetic number, because the mean of its divisors is an integer number (1070433).

Almost surely, 223993460 is an apocalyptic number.

23993460 is a gapful number since it is divisible by the number (20) 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 23993460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38535588).

23993460 is an abundant number, since it is smaller than the sum of its proper divisors (53077716).

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

23993460 is a wasteful number, since it uses less digits than its factorization.

23993460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7873 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 23993460 is about 4898.3119541328. The cubic root of 23993460 is about 288.4237108140.

The spelling of 23993460 in words is "twenty-three million, nine hundred ninety-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 7841 15682 23523 31364 39205 47046 70569 78410 94092 117615 133297 141138 156820 235230 266594 282276 352845 399891 470460 533188 666485 705690 799782 1199673 1332970 1411380 1599564 1999455 2399346 2665940 3998910 4798692 5998365 7997820 11996730 23993460