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23028960 = 253547977
BaseRepresentation
bin101011111011…
…0010011100000
31121022222210110
41113312103200
521343411320
62141331320
7366512553
oct127662340
947288713
1023028960
1111aa9aa9
127866b40
134a04006
1430b669a
15204d5e0
hex15f64e0

23028960 has 48 divisors (see below), whose sum is σ = 72542736. Its totient is φ = 6140928.

The previous prime is 23028959. The next prime is 23028961. The reversal of 23028960 is 6982032.

It is an interprime number because it is at equal distance from previous prime (23028959) and next prime (23028961).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23028961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23509 + ... + 24468.

It is an arithmetic number, because the mean of its divisors is an integer number (1511307).

Almost surely, 223028960 is an apocalyptic number.

23028960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23028960 is an abundant number, since it is smaller than the sum of its proper divisors (49513776).

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

23028960 is a wasteful number, since it uses less digits than its factorization.

23028960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47995 (or 47987 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 23028960 is about 4798.8498622066. The cubic root of 23028960 is about 284.5060079058.

The spelling of 23028960 in words is "twenty-three million, twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 47977 95954 143931 191908 239885 287862 383816 479770 575724 719655 767632 959540 1151448 1439310 1535264 1919080 2302896 2878620 3838160 4605792 5757240 7676320 11514480 23028960