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23260640 = 2551353211
BaseRepresentation
bin101100010111…
…0110111100000
31121202202121012
41120232313200
521423320030
62150320052
7401466164
oct130566740
947682535
1023260640
1112148077
127959028
134a855c0
143136ca4
152097095
hex162ede0

23260640 has 96 divisors (see below), whose sum is σ = 60582816. Its totient is φ = 8386560.

The previous prime is 23260637. The next prime is 23260651. The reversal of 23260640 is 4606232.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 110135 + ... + 110345.

It is an arithmetic number, because the mean of its divisors is an integer number (631071).

Almost surely, 223260640 is an apocalyptic number.

23260640 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 23260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30291408).

23260640 is an abundant number, since it is smaller than the sum of its proper divisors (37322176).

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

23260640 is a wasteful number, since it uses less digits than its factorization.

23260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 23260640 is about 4822.9285708996. The cubic root of 23260640 is about 285.4569053562.

Adding to 23260640 its reverse (4606232), we get a palindrome (27866872).

The spelling of 23260640 in words is "twenty-three million, two hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 65 80 104 106 130 160 208 211 212 260 265 416 422 424 520 530 689 844 848 1040 1055 1060 1378 1688 1696 2080 2110 2120 2743 2756 3376 3445 4220 4240 5486 5512 6752 6890 8440 8480 10972 11024 11183 13715 13780 16880 21944 22048 22366 27430 27560 33760 43888 44732 54860 55120 55915 87776 89464 109720 110240 111830 145379 178928 219440 223660 290758 357856 438880 447320 581516 726895 894640 1163032 1453790 1789280 2326064 2907580 4652128 5815160 11630320 23260640