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23002480 = 2452711061
BaseRepresentation
bin101011110111…
…1110101110000
31121021122110201
41113233311300
521342034410
62141004544
7366342424
oct127576560
947248421
1023002480
1111a91116
127853754
1349c4c47
1430aab84
15204583a
hex15efd70

23002480 has 40 divisors (see below), whose sum is σ = 53728704. Its totient is φ = 9158400.

The previous prime is 23002457. The next prime is 23002487. The reversal of 23002480 is 8420032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×230024802 = 1058228172300800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23002487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21150 + ... + 22210.

Almost surely, 223002480 is an apocalyptic number.

23002480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23002480 is an abundant number, since it is smaller than the sum of its proper divisors (30726224).

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

23002480 is a wasteful number, since it uses less digits than its factorization.

23002480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 23002480 is about 4796.0900742167. The cubic root of 23002480 is about 284.3969190527.

The spelling of 23002480 in words is "twenty-three million, two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 271 542 1061 1084 1355 2122 2168 2710 4244 4336 5305 5420 8488 10610 10840 16976 21220 21680 42440 84880 287531 575062 1150124 1437655 2300248 2875310 4600496 5750620 11501240 23002480