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13314630 = 2357194771
BaseRepresentation
bin110010110010…
…101001000110
3221001110020110
4302302221012
511402032010
61153213450
7221113110
oct62625106
927043213
1013314630
11757452a
124561286
1329b24a4
141aa83b0
151280120
hexcb2a46

13314630 has 128 divisors (see below), whose sum is σ = 39813120. Its totient is φ = 2782080.

The previous prime is 13314617. The next prime is 13314641. The reversal of 13314630 is 3641331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13314597 and 13314606.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 187495 + ... + 187565.

It is an arithmetic number, because the mean of its divisors is an integer number (311040).

Almost surely, 213314630 is an apocalyptic number.

13314630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13314630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19906560).

13314630 is an abundant number, since it is smaller than the sum of its proper divisors (26498490).

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

13314630 is a wasteful number, since it uses less digits than its factorization.

13314630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 13314630 is about 3648.9217585473. The cubic root of 13314630 is about 237.0152921465.

Adding to 13314630 its reverse (3641331), we get a palindrome (16955961).

The spelling of 13314630 in words is "thirteen million, three hundred fourteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 47 57 70 71 94 95 105 114 133 141 142 190 210 213 235 266 282 285 329 355 399 426 470 497 570 658 665 705 710 798 893 987 994 1065 1330 1349 1410 1491 1645 1786 1974 1995 2130 2485 2679 2698 2982 3290 3337 3990 4047 4465 4935 4970 5358 6251 6674 6745 7455 8094 8930 9443 9870 10011 12502 13395 13490 14910 16685 18753 18886 20022 20235 23359 26790 28329 31255 33370 37506 40470 46718 47215 50055 56658 62510 63403 70077 93765 94430 100110 116795 126806 140154 141645 187530 190209 233590 283290 317015 350385 380418 443821 634030 700770 887642 951045 1331463 1902090 2219105 2662926 4438210 6657315 13314630