Search a number
-
+
13919430 = 2357217557
BaseRepresentation
bin110101000110…
…010011000110
3222012011212110
4311012103012
512030410210
61214201450
7226212300
oct65062306
928164773
1013919430
117947968
1247b3286
132b64865
141bc4970
15134e420
hexd464c6

13919430 has 96 divisors (see below), whose sum is σ = 41220576. Its totient is φ = 2989056.

The previous prime is 13919417. The next prime is 13919467. The reversal of 13919430 is 3491931.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 24712 + ... + 25268.

It is an arithmetic number, because the mean of its divisors is an integer number (429381).

Almost surely, 213919430 is an apocalyptic number.

13919430 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 13919430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20610288).

13919430 is an abundant number, since it is smaller than the sum of its proper divisors (27301146).

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

13919430 is a wasteful number, since it uses less digits than its factorization.

13919430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 13919430 is about 3730.8752324354. The cubic root of 13919430 is about 240.5509910135.

The spelling of 13919430 in words is "thirteen million, nine hundred nineteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 294 357 490 510 557 595 714 735 833 1114 1190 1470 1666 1671 1785 2499 2785 3342 3570 3899 4165 4998 5570 7798 8330 8355 9469 11697 12495 16710 18938 19495 23394 24990 27293 28407 38990 47345 54586 56814 58485 66283 81879 94690 116970 132566 136465 142035 163758 198849 272930 284070 331415 397698 409395 463981 662830 818790 927962 994245 1391943 1988490 2319905 2783886 4639810 6959715 13919430