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23091456 = 283107281
BaseRepresentation
bin101100000010…
…1100100000000
31121110011112010
41120011210000
521402411311
62142532520
7400163013
oct130054400
947404463
1023091456
1112041a53
127897140
134a265ab
1430d137a
152061da6
hex1605900

23091456 has 72 divisors (see below), whose sum is σ = 62252064. Its totient is φ = 7598080.

The previous prime is 23091451. The next prime is 23091461. The reversal of 23091456 is 65419032.

It is an interprime number because it is at equal distance from previous prime (23091451) and next prime (23091461).

It is not an unprimeable number, because it can be changed into a prime (23091451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82036 + ... + 82316.

It is an arithmetic number, because the mean of its divisors is an integer number (864612).

Almost surely, 223091456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31126032).

23091456 is an abundant number, since it is smaller than the sum of its proper divisors (39160608).

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

23091456 is a wasteful number, since it uses less digits than its factorization.

23091456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 23091456 is about 4805.3570106705. The cubic root of 23091456 is about 284.7631396137.

The spelling of 23091456 in words is "twenty-three million, ninety-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 281 321 384 428 562 642 768 843 856 1124 1284 1686 1712 2248 2568 3372 3424 4496 5136 6744 6848 8992 10272 13488 13696 17984 20544 26976 27392 30067 35968 41088 53952 60134 71936 82176 90201 107904 120268 180402 215808 240536 360804 481072 721608 962144 1443216 1924288 2886432 3848576 5772864 7697152 11545728 23091456