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10071252 = 2232377561
BaseRepresentation
bin100110011010…
…110011010100
3200221200011100
4212122303110
510034240002
6555510100
7151414152
oct46326324
920850140
1010071252
115759754
123458330
132118129
1414a23d2
15d3e11c
hex99acd4

10071252 has 36 divisors (see below), whose sum is σ = 26149396. Its totient is φ = 3265920.

The previous prime is 10071233. The next prime is 10071253. The reversal of 10071252 is 25217001.

10071252 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 2 ways, for example, as 5934096 + 4137156 = 2436^2 + 2034^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10071253) 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, 2449 + ... + 5112.

Almost surely, 210071252 is an apocalyptic number.

10071252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10071252 is an abundant number, since it is smaller than the sum of its proper divisors (16078144).

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

10071252 is a wasteful number, since it uses less digits than its factorization.

10071252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7608 (or 7603 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10071252 is about 3173.5235937361. The cubic root of 10071252 is about 215.9539510889.

Adding to 10071252 its reverse (25217001), we get a palindrome (35288253).

The spelling of 10071252 in words is "ten million, seventy-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 7561 15122 22683 30244 45366 68049 90732 136098 272196 279757 559514 839271 1119028 1678542 2517813 3357084 5035626 10071252