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10625020 = 2257292617
BaseRepresentation
bin101000100001…
…111111111100
3201222210210021
4220201333330
510210000040
61015421524
7156211510
oct50417774
921883707
1010625020
115aa780a
1236848a4
1322801c3
1415a8140
15ded24a
hexa21ffc

10625020 has 48 divisors (see below), whose sum is σ = 26389440. Its totient is φ = 3515904.

The previous prime is 10625003. The next prime is 10625039. The reversal of 10625020 is 2052601.

It is a happy number.

It is a super-2 number, since 2×106250202 = 225782100000800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10624985 and 10625003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2752 + ... + 5368.

It is an arithmetic number, because the mean of its divisors is an integer number (549780).

Almost surely, 210625020 is an apocalyptic number.

10625020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10625020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194720).

10625020 is an abundant number, since it is smaller than the sum of its proper divisors (15764420).

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

10625020 is a wasteful number, since it uses less digits than its factorization.

10625020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10625020 is about 3259.6042704598. The cubic root of 10625020 is about 219.8416215476.

Adding to 10625020 its reverse (2052601), we get a palindrome (12677621).

The spelling of 10625020 in words is "ten million, six hundred twenty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 2617 4060 5234 10468 13085 18319 26170 36638 52340 73276 75893 91595 151786 183190 303572 366380 379465 531251 758930 1062502 1517860 2125004 2656255 5312510 10625020