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23405460 = 22351337811
BaseRepresentation
bin101100101001…
…0001110010100
31122001010020220
41121102032110
521442433320
62153354340
7402641331
oct131221624
948033226
1023405460
1112236961
127a089b0
134b064b0
143173988
1520c4e40
hex1652394

23405460 has 96 divisors (see below), whose sum is σ = 72573312. Its totient is φ = 5598720.

The previous prime is 23405443. The next prime is 23405471. The reversal of 23405460 is 6450432.

It is a self number, because there is not a number n which added to its sum of digits gives 23405460.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 28455 + ... + 29265.

It is an arithmetic number, because the mean of its divisors is an integer number (755972).

Almost surely, 223405460 is an apocalyptic number.

23405460 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 23405460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36286656).

23405460 is an abundant number, since it is smaller than the sum of its proper divisors (49167852).

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

23405460 is a wasteful number, since it uses less digits than its factorization.

23405460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 871 counting only the distinct ones).

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

The square root of 23405460 is about 4837.9189741045. The cubic root of 23405460 is about 286.0480953233.

Adding to 23405460 its reverse (6450432), we get a palindrome (29855892).

The spelling of 23405460 in words is "twenty-three million, four hundred five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 811 962 1110 1443 1622 1924 2220 2405 2433 2886 3244 4055 4810 4866 5772 7215 8110 9620 9732 10543 12165 14430 16220 21086 24330 28860 30007 31629 42172 48660 52715 60014 63258 90021 105430 120028 126516 150035 158145 180042 210860 300070 316290 360084 390091 450105 600140 632580 780182 900210 1170273 1560364 1800420 1950455 2340546 3900910 4681092 5851365 7801820 11702730 23405460