Search a number
-
+
10535252 = 22713103281
BaseRepresentation
bin101000001100…
…000101010100
3201211020122112
4220030011110
510144112002
61013450152
7155356010
oct50140524
921736575
1010535252
115a46322
123640958
13224b3a0
141583540
15dd1852
hexa0c154

10535252 has 48 divisors (see below), whose sum is σ = 22993152. Its totient is φ = 4112640.

The previous prime is 10535251. The next prime is 10535279. The reversal of 10535252 is 25253501.

It is a super-2 number, since 2×105352522 = 221983069407008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10535251) 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, 37352 + ... + 37632.

It is an arithmetic number, because the mean of its divisors is an integer number (479024).

Almost surely, 210535252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10535252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11496576).

10535252 is an abundant number, since it is smaller than the sum of its proper divisors (12457900).

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

10535252 is a wasteful number, since it uses less digits than its factorization.

10535252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 10535252 is about 3245.8052929897. The cubic root of 10535252 is about 219.2207416837.

Adding to 10535252 its reverse (25253501), we get a palindrome (35788753).

The spelling of 10535252 in words is "ten million, five hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 103 182 206 281 364 412 562 721 1124 1339 1442 1967 2678 2884 3653 3934 5356 7306 7868 9373 14612 18746 25571 28943 37492 51142 57886 102284 115772 202601 376259 405202 752518 810404 1505036 2633813 5267626 10535252