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23252640 = 2535193251
BaseRepresentation
bin101100010110…
…0111010100000
31121202100121220
41120230322200
521423041030
62150215040
7401433645
oct130547240
947670556
1023252640
1112142064
127954480
134a81a78
143133dcc
152094a10
hex162cea0

23252640 has 96 divisors (see below), whose sum is σ = 73918656. Its totient is φ = 6144000.

The previous prime is 23252611. The next prime is 23252653. The reversal of 23252640 is 4625232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23252640.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 92515 + ... + 92765.

It is an arithmetic number, because the mean of its divisors is an integer number (769986).

Almost surely, 223252640 is an apocalyptic number.

23252640 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 23252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36959328).

23252640 is an abundant number, since it is smaller than the sum of its proper divisors (50666016).

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

23252640 is a wasteful number, since it uses less digits than its factorization.

23252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 23252640 is about 4822.0991279732. The cubic root of 23252640 is about 285.4241760031.

Adding to 23252640 its reverse (4625232), we get a palindrome (27877872).

The spelling of 23252640 in words is "twenty-three million, two hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 193 240 251 386 480 502 579 753 772 965 1004 1158 1255 1506 1544 1930 2008 2316 2510 2895 3012 3088 3765 3860 4016 4632 5020 5790 6024 6176 7530 7720 8032 9264 10040 11580 12048 15060 15440 18528 20080 23160 24096 30120 30880 40160 46320 48443 60240 92640 96886 120480 145329 193772 242215 290658 387544 484430 581316 726645 775088 968860 1162632 1453290 1550176 1937720 2325264 2906580 3875440 4650528 5813160 7750880 11626320 23252640