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13030416 = 2433731139
BaseRepresentation
bin110001101101…
…010000010000
3220112000101000
4301231100100
511313433131
61143142000
7215520360
oct61552020
926460330
1013030416
11739aa43
124444900
132913009
141a329a0
151225ce6
hexc6d410

13030416 has 160 divisors (see below), whose sum is σ = 44441600. Its totient is φ = 3576960.

The previous prime is 13030403. The next prime is 13030453. The reversal of 13030416 is 61403031.

It is a super-2 number, since 2×130304162 = 339583482266112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93675 + ... + 93813.

It is an arithmetic number, because the mean of its divisors is an integer number (277760).

Almost surely, 213030416 is an apocalyptic number.

13030416 is a gapful number since it is divisible by the number (16) 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 13030416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22220800).

13030416 is an abundant number, since it is smaller than the sum of its proper divisors (31411184).

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

13030416 is a wasteful number, since it uses less digits than its factorization.

13030416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13030416 is about 3609.7667514675. The cubic root of 13030416 is about 235.3167059295.

Adding to 13030416 its reverse (61403031), we get a palindrome (74433447).

The spelling of 13030416 in words is "thirteen million, thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 139 144 168 186 189 216 217 248 252 278 279 336 372 378 417 432 434 496 504 556 558 651 744 756 834 837 868 973 1008 1112 1116 1251 1302 1488 1512 1668 1674 1736 1946 1953 2224 2232 2502 2604 2919 3024 3336 3348 3472 3753 3892 3906 4309 4464 5004 5208 5838 5859 6672 6696 7506 7784 7812 8618 8757 10008 10416 11676 11718 12927 13392 15012 15568 15624 17236 17514 20016 23352 23436 25854 26271 30024 30163 31248 34472 35028 38781 46704 46872 51708 52542 60048 60326 68944 70056 77562 90489 93744 103416 105084 116343 120652 140112 155124 180978 206832 210168 232686 241304 271467 310248 361956 420336 465372 482608 542934 620496 723912 814401 930744 1085868 1447824 1628802 1861488 2171736 3257604 4343472 6515208 13030416