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20624625 = 3553797
BaseRepresentation
bin100111010101…
…1010011110001
31102210211200000
41032223103301
520234442000
62014020213
7340210050
oct116532361
942724600
1020624625
111070764a
126aa7669
134371828
142a4c397
151c26000
hex13ab4f1

20624625 has 96 divisors (see below), whose sum is σ = 44518656. Its totient is φ = 9331200.

The previous prime is 20624623. The next prime is 20624657. The reversal of 20624625 is 52642602.

It is not a de Polignac number, because 20624625 - 21 = 20624623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20624623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212577 + ... + 212673.

It is an arithmetic number, because the mean of its divisors is an integer number (463736).

Almost surely, 220624625 is an apocalyptic number.

20624625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20624625 is an abundant number, since it is smaller than the sum of its proper divisors (23894031).

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

20624625 is an frugal number, since it uses more digits than its factorization.

20624625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20624625 is about 4541.4342448174. The cubic root of 20624625 is about 274.2386655490.

The spelling of 20624625 in words is "twenty million, six hundred twenty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 97 105 125 135 175 189 225 243 291 315 375 405 485 525 567 675 679 873 875 945 1125 1215 1455 1575 1701 2025 2037 2425 2619 2625 2835 3375 3395 4365 4725 6075 6111 7275 7857 7875 8505 10125 10185 12125 13095 14175 16975 18333 21825 23571 23625 30375 30555 36375 39285 42525 50925 54999 65475 70875 84875 91665 109125 117855 152775 164997 196425 212625 254625 274995 327375 458325 589275 763875 824985 982125 1374975 2291625 2946375 4124925 6874875 20624625