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10306764 = 2234132447
BaseRepresentation
bin100111010100…
…010011001100
3201101122020000
4213110103030
510114304024
61004524300
7153414606
oct47242314
921348200
1010306764
1158aa696
123550690
13219b3a0
141524176
15d88cc9
hex9d44cc

10306764 has 60 divisors (see below), whose sum is σ = 29028384. Its totient is φ = 3170016.

The previous prime is 10306763. The next prime is 10306781. The reversal of 10306764 is 46760301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10306763) 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 19 ways as a sum of consecutive naturals, for example, 2989 + ... + 5435.

Almost surely, 210306764 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 10306764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14514192).

10306764 is an abundant number, since it is smaller than the sum of its proper divisors (18721620).

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

10306764 is a wasteful number, since it uses less digits than its factorization.

10306764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 10306764 is about 3210.4149264542. The cubic root of 10306764 is about 217.6243284416.

The spelling of 10306764 in words is "ten million, three hundred six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 2447 4212 4894 7341 9788 14682 22023 29364 31811 44046 63622 66069 88092 95433 127244 132138 190866 198207 264276 286299 381732 396414 572598 792828 858897 1145196 1717794 2576691 3435588 5153382 10306764