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10335252 = 22317291747
BaseRepresentation
bin100111011011…
…010000010100
3201110002022010
4213123100110
510121212002
61005304220
7153563634
oct47332024
921402263
1010335252
11591a034
123565070
1321ab345
1415306c4
15d9246c
hex9db414

10335252 has 48 divisors (see below), whose sum is σ = 26429760. Its totient is φ = 3128832.

The previous prime is 10335233. The next prime is 10335263. The reversal of 10335252 is 25253301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5043 + ... + 6789.

It is an arithmetic number, because the mean of its divisors is an integer number (550620).

Almost surely, 210335252 is an apocalyptic number.

10335252 is a gapful number since it is divisible by the number (12) 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 10335252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13214880).

10335252 is an abundant number, since it is smaller than the sum of its proper divisors (16094508).

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

10335252 is a wasteful number, since it uses less digits than its factorization.

10335252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 10335252 is about 3214.8486745102. The cubic root of 10335252 is about 217.8246492739.

Adding to 10335252 its reverse (25253301), we get a palindrome (35588553).

The spelling of 10335252 in words is "ten million, three hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1747 1972 2958 3494 5241 5916 6988 10482 20964 29699 50663 59398 89097 101326 118796 151989 178194 202652 303978 356388 607956 861271 1722542 2583813 3445084 5167626 10335252