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13104420 = 2235741761
BaseRepresentation
bin110001111111…
…010100100100
3220122202212220
4301333110210
511323320140
61144512340
7216246210
oct61772444
926582786
1013104420
1174405aa
12447b6b0
13293a8c4
141a51940
15123cbd0
hexc7f524

13104420 has 96 divisors (see below), whose sum is σ = 43013376. Its totient is φ = 2918400.

The previous prime is 13104389. The next prime is 13104437. The reversal of 13104420 is 2440131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13104420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16840 + ... + 17600.

It is an arithmetic number, because the mean of its divisors is an integer number (448056).

Almost surely, 213104420 is an apocalyptic number.

13104420 is a gapful number since it is divisible by the number (10) 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 13104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506688).

13104420 is an abundant number, since it is smaller than the sum of its proper divisors (29908956).

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

13104420 is a wasteful number, since it uses less digits than its factorization.

13104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13104420 is about 3620.0027624299. The cubic root of 13104420 is about 235.7613454512.

Adding to 13104420 its reverse (2440131), we get a palindrome (15544551).

The spelling of 13104420 in words is "thirteen million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 761 820 861 1148 1230 1435 1522 1722 2283 2460 2870 3044 3444 3805 4305 4566 5327 5740 7610 8610 9132 10654 11415 15220 15981 17220 21308 22830 26635 31201 31962 45660 53270 62402 63924 79905 93603 106540 124804 156005 159810 187206 218407 312010 319620 374412 436814 468015 624020 655221 873628 936030 1092035 1310442 1872060 2184070 2620884 3276105 4368140 6552210 13104420