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10130304 = 273233137
BaseRepresentation
bin100110101001…
…001110000000
3201001200011110
4212221032000
510043132204
61001043320
7152051262
oct46511600
921050143
1010130304
11579a058
123486540
132138c82
1414b9b32
15d51889
hex9a9380

10130304 has 128 divisors (see below), whose sum is σ = 29767680. Its totient is φ = 3041280.

The previous prime is 10130303. The next prime is 10130311. The reversal of 10130304 is 40303101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10130304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273774 + ... + 273810.

It is an arithmetic number, because the mean of its divisors is an integer number (232560).

Almost surely, 210130304 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 10130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883840).

10130304 is an abundant number, since it is smaller than the sum of its proper divisors (19637376).

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

10130304 is a wasteful number, since it uses less digits than its factorization.

10130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10130304 is about 3182.8138494106. The cubic root of 10130304 is about 216.3752052071.

Adding to 10130304 its reverse (40303101), we get a palindrome (50433405).

The spelling of 10130304 in words is "ten million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 37 46 48 62 64 69 74 92 93 96 111 124 128 138 148 184 186 192 222 248 276 296 368 372 384 444 496 552 592 713 736 744 851 888 992 1104 1147 1184 1426 1472 1488 1702 1776 1984 2139 2208 2294 2368 2553 2852 2944 2976 3404 3441 3552 3968 4278 4416 4588 4736 5106 5704 5952 6808 6882 7104 8556 8832 9176 10212 11408 11904 13616 13764 14208 17112 18352 20424 22816 26381 27232 27528 34224 36704 40848 45632 52762 54464 55056 68448 73408 79143 81696 91264 105524 108928 110112 136896 146816 158286 163392 211048 220224 273792 316572 326784 422096 440448 633144 844192 1266288 1688384 2532576 3376768 5065152 10130304