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13419630 = 23257217179
BaseRepresentation
bin110011001100…
…010001101110
3221020210021100
4303030101232
511413412010
61155343530
7222031200
oct63142156
927223240
1013419630
117636404
1245b1ba6
132a1b213
141ad4770
1512a12c0
hexccc46e

13419630 has 144 divisors (see below), whose sum is σ = 43215120. Its totient is φ = 2870784.

The previous prime is 13419589. The next prime is 13419661. The reversal of 13419630 is 3691431.

13419630 is a `hidden beast` number, since 13 + 4 + 19 + 630 = 666.

13419630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13419594 and 13419603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74881 + ... + 75059.

It is an arithmetic number, because the mean of its divisors is an integer number (300105).

Almost surely, 213419630 is an apocalyptic number.

13419630 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 13419630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21607560).

13419630 is an abundant number, since it is smaller than the sum of its proper divisors (29795490).

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

13419630 is a wasteful number, since it uses less digits than its factorization.

13419630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13419630 is about 3663.2813159789. The cubic root of 13419630 is about 237.6367006193.

The spelling of 13419630 in words is "thirteen million, four hundred nineteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 49 51 63 70 85 90 98 102 105 119 126 147 153 170 179 210 238 245 255 294 306 315 357 358 441 490 510 537 595 630 714 735 765 833 882 895 1071 1074 1190 1253 1470 1530 1611 1666 1785 1790 2142 2205 2499 2506 2685 3043 3222 3570 3759 4165 4410 4998 5355 5370 6086 6265 7497 7518 8055 8330 8771 9129 10710 11277 12495 12530 14994 15215 16110 17542 18258 18795 21301 22554 24990 26313 27387 30430 37485 37590 42602 43855 45645 52626 54774 56385 63903 74970 78939 87710 91290 106505 112770 127806 131565 136935 149107 157878 191709 213010 263130 273870 298214 319515 383418 394695 447321 639030 745535 789390 894642 958545 1341963 1491070 1917090 2236605 2683926 4473210 6709815 13419630