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23996520 = 23335171307
BaseRepresentation
bin101101110001…
…0100001101000
31200011011001000
41123202201220
522120342040
62214155000
7410652462
oct133424150
950134030
1023996520
11125aaa39
128052a60
134c82532
143289132
152190130
hex16e2868

23996520 has 128 divisors (see below), whose sum is σ = 84758400. Its totient is φ = 6018048.

The previous prime is 23996513. The next prime is 23996527. The reversal of 23996520 is 2569932.

It is an interprime number because it is at equal distance from previous prime (23996513) and next prime (23996527).

It is a super-2 number, since 2×239965202 = 1151665944220800, 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 (23996527) 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 31 ways as a sum of consecutive naturals, for example, 17707 + ... + 19013.

It is an arithmetic number, because the mean of its divisors is an integer number (662175).

Almost surely, 223996520 is an apocalyptic number.

23996520 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 23996520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42379200).

23996520 is an abundant number, since it is smaller than the sum of its proper divisors (60761880).

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

23996520 is a wasteful number, since it uses less digits than its factorization.

23996520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 23996520 is about 4898.6242966776. The cubic root of 23996520 is about 288.4359716417.

The spelling of 23996520 in words is "twenty-three million, nine hundred ninety-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1307 1530 1836 2040 2295 2614 3060 3672 3921 4590 5228 6120 6535 7842 9180 10456 11763 13070 15684 18360 19605 22219 23526 26140 31368 35289 39210 44438 47052 52280 58815 66657 70578 78420 88876 94104 111095 117630 133314 141156 156840 176445 177752 199971 222190 235260 266628 282312 333285 352890 399942 444380 470520 533256 599913 666570 705780 799884 888760 999855 1199826 1333140 1411560 1599768 1999710 2399652 2666280 2999565 3999420 4799304 5999130 7998840 11998260 23996520