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23125080 = 23351117519
BaseRepresentation
bin101100000110…
…1110001011000
31121111212122110
41120031301120
521410000310
62143352320
7400363026
oct130156130
947455573
1023125080
1112065240
1278b26a0
134a389a4
1430dd716
15206bd20
hex160dc58

23125080 has 64 divisors (see below), whose sum is σ = 75686400. Its totient is φ = 5605760.

The previous prime is 23125079. The next prime is 23125087. The reversal of 23125080 is 8052132.

23125080 = T2045 + T2046 + ... + T2055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23125087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7440 + ... + 10079.

It is an arithmetic number, because the mean of its divisors is an integer number (1182600).

Almost surely, 223125080 is an apocalyptic number.

23125080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23125080 is an abundant number, since it is smaller than the sum of its proper divisors (52561320).

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

23125080 is a wasteful number, since it uses less digits than its factorization.

23125080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17544 (or 17540 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 23125080 is about 4808.8543334146. The cubic root of 23125080 is about 284.9012892993.

The spelling of 23125080 in words is "twenty-three million, one hundred twenty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 17519 35038 52557 70076 87595 105114 140152 175190 192709 210228 262785 350380 385418 420456 525570 578127 700760 770836 963545 1051140 1156254 1541672 1927090 2102280 2312508 2890635 3854180 4625016 5781270 7708360 11562540 23125080