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10069304 = 2372171511
BaseRepresentation
bin100110011010…
…010100111000
3200221120111012
4212122110320
510034204204
6555453052
7151405400
oct46322470
920846435
1010069304
115758243
123457188
13211728b
1414a1800
15d3d76e
hex99a538

10069304 has 48 divisors (see below), whose sum is σ = 23269680. Its totient is φ = 4058880.

The previous prime is 10069303. The next prime is 10069307. The reversal of 10069304 is 40396001.

It is a self number, because there is not a number n which added to its sum of digits gives 10069304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10069303) 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 11 ways as a sum of consecutive naturals, for example, 5909 + ... + 7419.

It is an arithmetic number, because the mean of its divisors is an integer number (484785).

Almost surely, 210069304 is an apocalyptic number.

10069304 is a gapful number since it is divisible by the number (14) 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 10069304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11634840).

10069304 is an abundant number, since it is smaller than the sum of its proper divisors (13200376).

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

10069304 is a wasteful number, since it uses less digits than its factorization.

10069304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 10069304 is about 3173.2166645220. The cubic root of 10069304 is about 215.9400267883.

The spelling of 10069304 in words is "ten million, sixty-nine thousand, three hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1511 1666 3022 3332 6044 6664 10577 12088 21154 25687 42308 51374 74039 84616 102748 148078 179809 205496 296156 359618 592312 719236 1258663 1438472 2517326 5034652 10069304