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13100304 = 2437127307
BaseRepresentation
bin110001111110…
…010100010000
3220122120020110
4301332110100
511323202204
61144441320
7216231210
oct61762420
926576213
1013100304
1174384a8
124479240
132938a79
141a50240
15123b889
hexc7e510

13100304 has 80 divisors (see below), whose sum is σ = 39108608. Its totient is φ = 3701376.

The previous prime is 13100287. The next prime is 13100327. The reversal of 13100304 is 40300131.

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 13100304.

It is an unprimeable number.

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, 42519 + ... + 42825.

Almost surely, 213100304 is an apocalyptic number.

13100304 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 13100304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19554304).

13100304 is an abundant number, since it is smaller than the sum of its proper divisors (26008304).

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

13100304 is a wasteful number, since it uses less digits than its factorization.

13100304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

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

The square root of 13100304 is about 3619.4342099284. The cubic root of 13100304 is about 235.7366592432.

Adding to 13100304 its reverse (40300131), we get a palindrome (53400435).

The spelling of 13100304 in words is "thirteen million, one hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 307 336 381 508 614 762 889 921 1016 1228 1524 1778 1842 2032 2149 2456 2667 3048 3556 3684 4298 4912 5334 6096 6447 7112 7368 8596 10668 12894 14224 14736 17192 21336 25788 34384 38989 42672 51576 77978 103152 116967 155956 233934 272923 311912 467868 545846 623824 818769 935736 1091692 1637538 1871472 2183384 3275076 4366768 6550152 13100304