Search a number
-
+
10625000 = 235717
BaseRepresentation
bin101000100001…
…111111101000
3201222210202112
4220201333220
510210000000
61015421452
7156211451
oct50417750
921883675
1010625000
115aa77a1
123684888
1322801a9
1415a8128
15ded235
hexa21fe8

10625000 has 64 divisors (see below), whose sum is σ = 26367120. Its totient is φ = 4000000.

The previous prime is 10624987. The next prime is 10625003. The reversal of 10625000 is 52601.

10625000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8726116 + 1898884 = 2954^2 + 1378^2 .

It is a super-2 number, since 2×106250002 = 225781250000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10625003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624992 + ... + 625008.

Almost surely, 210625000 is an apocalyptic number.

10625000 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 10625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13183560).

10625000 is an abundant number, since it is smaller than the sum of its proper divisors (15742120).

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

10625000 is an frugal number, since it uses more digits than its factorization.

10625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10625000 is about 3259.6012026013. The cubic root of 10625000 is about 219.8414836079.

Adding to 10625000 its reverse (52601), we get a palindrome (10677601).

It can be divided in two parts, 10 and 625000, that multiplied together give a 4-th power (6250000 = 504).

The spelling of 10625000 in words is "ten million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 625 680 850 1000 1250 1700 2125 2500 3125 3400 4250 5000 6250 8500 10625 12500 15625 17000 21250 25000 31250 42500 53125 62500 78125 85000 106250 125000 156250 212500 265625 312500 425000 531250 625000 1062500 1328125 2125000 2656250 5312500 10625000