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10252032 = 28371907
BaseRepresentation
bin100111000110…
…111100000000
3201021212010220
4213012330000
510111031112
61003423040
7153066210
oct47067400
921255126
1010252032
11587255a
123524a80
13217c4bb
14150c240
15d7798c
hex9c6f00

10252032 has 72 divisors (see below), whose sum is σ = 31199616. Its totient is φ = 2927616.

The previous prime is 10252031. The next prime is 10252049. The reversal of 10252032 is 23025201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4423 + ... + 6329.

It is an arithmetic number, because the mean of its divisors is an integer number (433328).

Almost surely, 210252032 is an apocalyptic number.

10252032 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 10252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599808).

10252032 is an abundant number, since it is smaller than the sum of its proper divisors (20947584).

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

10252032 is an equidigital number, since it uses as much as digits as its factorization.

10252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10252032 is about 3201.8794480742. The cubic root of 10252032 is about 217.2384277894.

Adding to 10252032 its reverse (23025201), we get a palindrome (33277233).

The spelling of 10252032 in words is "ten million, two hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 1907 2688 3814 5376 5721 7628 11442 13349 15256 22884 26698 30512 40047 45768 53396 61024 80094 91536 106792 122048 160188 183072 213584 244096 320376 366144 427168 488192 640752 732288 854336 1281504 1464576 1708672 2563008 3417344 5126016 10252032