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10307064 = 2332959251
BaseRepresentation
bin100111010100…
…010111111000
3201101122122010
4213110113320
510114311224
61004525520
7153415515
oct47242770
921348563
1010307064
1158aa939
1235508a0
13219b571
14152430c
15d88e29
hex9d45f8

10307064 has 64 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 3248000.

The previous prime is 10307047. The next prime is 10307071. The reversal of 10307064 is 46070301.

It is a self number, because there is not a number n which added to its sum of digits gives 10307064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40939 + ... + 41189.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 210307064 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 10307064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

10307064 is an abundant number, since it is smaller than the sum of its proper divisors (16908936).

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

10307064 is a wasteful number, since it uses less digits than its factorization.

10307064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 10307064 is about 3210.4616490468. The cubic root of 10307064 is about 217.6264398921.

Adding to 10307064 its reverse (46070301), we get a palindrome (56377365).

The spelling of 10307064 in words is "ten million, three hundred seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 59 87 116 118 174 177 232 236 251 348 354 472 502 696 708 753 1004 1416 1506 1711 2008 3012 3422 5133 6024 6844 7279 10266 13688 14558 14809 20532 21837 29116 29618 41064 43674 44427 58232 59236 87348 88854 118472 174696 177708 355416 429461 858922 1288383 1717844 2576766 3435688 5153532 10307064