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10245352 = 2313294379
BaseRepresentation
bin100111000101…
…010011101000
3201021111222111
4213011103220
510110322402
61003332104
7153040555
oct47052350
921244874
1010245352
115868537
123521034
132179450
141509a2c
15d759d7
hex9c54e8

10245352 has 64 divisors (see below), whose sum is σ = 22176000. Its totient is φ = 4402944.

The previous prime is 10245341. The next prime is 10245353. The reversal of 10245352 is 25354201.

It is not an unprimeable number, because it can be changed into a prime (10245353) by changing a digit.

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, 129649 + ... + 129727.

It is an arithmetic number, because the mean of its divisors is an integer number (346500).

Almost surely, 210245352 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 10245352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11088000).

10245352 is an abundant number, since it is smaller than the sum of its proper divisors (11930648).

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

10245352 is a wasteful number, since it uses less digits than its factorization.

10245352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 10245352 is about 3200.8361407607. The cubic root of 10245352 is about 217.1912349340.

Adding to 10245352 its reverse (25354201), we get a palindrome (35599553).

It can be divided in two parts, 102 and 45352, that added together give a palindrome (45454).

The spelling of 10245352 in words is "ten million, two hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 29 43 52 58 79 86 104 116 158 172 232 316 344 377 559 632 754 1027 1118 1247 1508 2054 2236 2291 2494 3016 3397 4108 4472 4582 4988 6794 8216 9164 9976 13588 16211 18328 27176 29783 32422 44161 59566 64844 88322 98513 119132 129688 176644 197026 238264 353288 394052 788104 1280669 2561338 5122676 10245352