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10052660 = 225502633
BaseRepresentation
bin100110010110…
…010000110100
3200220201122202
4212112100310
510033141120
6555244032
7151306022
oct46262064
920821582
1010052660
115746792
123449618
13210c827
141499712
15d38875
hex996434

10052660 has 12 divisors (see below), whose sum is σ = 21110628. Its totient is φ = 4021056.

The previous prime is 10052659. The next prime is 10052663. The reversal of 10052660 is 6625001.

It can be written as a sum of positive squares in 2 ways, for example, as 7606564 + 2446096 = 2758^2 + 1564^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 502633 = 10052660 / (1 + 0 + 0 + 5 + 2 + 6 + 6 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251297 + ... + 251336.

It is an arithmetic number, because the mean of its divisors is an integer number (1759219).

Almost surely, 210052660 is an apocalyptic number.

10052660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10052660 is an abundant number, since it is smaller than the sum of its proper divisors (11057968).

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

10052660 is a wasteful number, since it uses less digits than its factorization.

10052660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502642 (or 502640 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 10052660 is about 3170.5930044709. The cubic root of 10052660 is about 215.8209822177.

Adding to 10052660 its reverse (6625001), we get a palindrome (16677661).

The spelling of 10052660 in words is "ten million, fifty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 502633 1005266 2010532 2513165 5026330 10052660