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23412640 = 255414383
BaseRepresentation
bin101100101001…
…1111110100000
31122001111002211
41121103332200
521443201030
62153451504
7403001266
oct131237640
948044084
1023412640
1112241299
127a10b94
134b09844
143176436
1520c712a
hex1653fa0

23412640 has 96 divisors (see below), whose sum is σ = 58677696. Its totient is φ = 8816640.

The previous prime is 23412629. The next prime is 23412647. The reversal of 23412640 is 4621432.

It is a happy number.

23412640 is nontrivially palindromic in base 3 and base 9.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (23412647) 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 15 ways as a sum of consecutive naturals, for example, 282039 + ... + 282121.

It is an arithmetic number, because the mean of its divisors is an integer number (611226).

Almost surely, 223412640 is an apocalyptic number.

23412640 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 23412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29338848).

23412640 is an abundant number, since it is smaller than the sum of its proper divisors (35265056).

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

23412640 is a wasteful number, since it uses less digits than its factorization.

23412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 23412640 is about 4838.6609717979. The cubic root of 23412640 is about 286.0773422789.

The spelling of 23412640 in words is "twenty-three million, four hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 43 80 82 83 86 160 164 166 172 205 215 328 332 344 410 415 430 656 664 688 820 830 860 1312 1328 1376 1640 1660 1720 1763 2656 3280 3320 3403 3440 3526 3569 6560 6640 6806 6880 7052 7138 8815 13280 13612 14104 14276 17015 17630 17845 27224 28208 28552 34030 35260 35690 54448 56416 57104 68060 70520 71380 108896 114208 136120 141040 142760 146329 272240 282080 285520 292658 544480 571040 585316 731645 1170632 1463290 2341264 2926580 4682528 5853160 11706320 23412640