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10003252 = 227323317
BaseRepresentation
bin100110001010…
…001100110100
3200211012212211
4212022030310
510030101002
6554223204
7151012000
oct46121464
920735784
1010003252
115712656
123424b04
1320c31ac
141485700
15d28dd7
hex98a334

10003252 has 48 divisors (see below), whose sum is σ = 21369600. Its totient is φ = 4087776.

The previous prime is 10003247. The next prime is 10003277. The reversal of 10003252 is 25230001.

10003252 is a modest number, since divided by 3252 gives 100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31398 + ... + 31714.

It is an arithmetic number, because the mean of its divisors is an integer number (445200).

Almost surely, 210003252 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 10003252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10684800).

10003252 is an abundant number, since it is smaller than the sum of its proper divisors (11366348).

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

10003252 is a wasteful number, since it uses less digits than its factorization.

10003252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 10003252 is about 3162.7918047194. The cubic root of 10003252 is about 215.4668205441.

Adding to 10003252 its reverse (25230001), we get a palindrome (35233253).

The spelling of 10003252 in words is "ten million, three thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 317 322 343 634 644 686 1127 1268 1372 2219 2254 4438 4508 7291 7889 8876 14582 15533 15778 29164 31066 31556 51037 62132 102074 108731 204148 217462 357259 434924 714518 1429036 2500813 5001626 10003252