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23640625 = 561789
BaseRepresentation
bin101101000101…
…1101000110001
31122111001211201
41122023220301
522023000000
62202411201
7404641051
oct132135061
948431751
1023640625
1112387608
127b00b01
134b89548
1431d5561
15211e96a
hex168ba31

23640625 has 28 divisors (see below), whose sum is σ = 31640220. Its totient is φ = 17600000.

The previous prime is 23640613. The next prime is 23640637. The reversal of 23640625 is 52604632.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23640613) and next prime (23640637).

It can be written as a sum of positive squares in 14 ways, for example, as 19280881 + 4359744 = 4391^2 + 2088^2 .

It is a de Polignac number, because none of the positive numbers 2k-23640625 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23640593 and 23640602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 265581 + ... + 265669.

Almost surely, 223640625 is an apocalyptic number.

23640625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23640625 is a deficient number, since it is larger than the sum of its proper divisors (7999595).

23640625 is an frugal number, since it uses more digits than its factorization.

23640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 23640625 is about 4862.1625846942. The cubic root of 23640625 is about 287.0029217815.

The spelling of 23640625 in words is "twenty-three million, six hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 89 125 425 445 625 1513 2125 2225 3125 7565 10625 11125 15625 37825 53125 55625 189125 265625 278125 945625 1390625 4728125 23640625