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10027025 = 521723593
BaseRepresentation
bin100110010000…
…000000010001
3200212102111022
4212100000101
510031331100
6554525225
7151141211
oct46200021
920772438
1010027025
1157294a8
123436815
132100c68
141490241
15d30e85
hex990011

10027025 has 12 divisors (see below), whose sum is σ = 13165452. Its totient is φ = 7549440.

The previous prime is 10027021. The next prime is 10027051. The reversal of 10027025 is 52072001.

10027025 = 3282 + 3292 + ... + 4022.

It can be written as a sum of positive squares in 6 ways, for example, as 583696 + 9443329 = 764^2 + 3073^2 .

It is not a de Polignac number, because 10027025 - 22 = 10027021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 10026994 and 10027012.

It is not an unprimeable number, because it can be changed into a prime (10027021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11372 + ... + 12221.

It is an arithmetic number, because the mean of its divisors is an integer number (1097121).

Almost surely, 210027025 is an apocalyptic number.

It is an amenable number.

10027025 is a deficient number, since it is larger than the sum of its proper divisors (3138427).

10027025 is a wasteful number, since it uses less digits than its factorization.

10027025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23620 (or 23615 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 10027025 is about 3166.5478047868. The cubic root of 10027025 is about 215.6373730910.

Adding to 10027025 its reverse (52072001), we get a palindrome (62099026).

The spelling of 10027025 in words is "ten million, twenty-seven thousand, twenty-five".

Divisors: 1 5 17 25 85 425 23593 117965 401081 589825 2005405 10027025