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13219470 = 2335114451
BaseRepresentation
bin110010011011…
…011010001110
3220212121201000
4302123122032
511341010340
61151201130
7220235505
oct62333216
926777630
1013219470
117509a90
1245161a6
13297b094
141a8183c
151261d30
hexc9b68e

13219470 has 64 divisors (see below), whose sum is σ = 38465280. Its totient is φ = 3204000.

The previous prime is 13219469. The next prime is 13219477. The reversal of 13219470 is 7491231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13219477) by changing a digit.

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, 745 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (601020).

Almost surely, 213219470 is an apocalyptic number.

13219470 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 13219470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19232640).

13219470 is an abundant number, since it is smaller than the sum of its proper divisors (25245810).

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

13219470 is a wasteful number, since it uses less digits than its factorization.

13219470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13219470 is about 3635.8589081536. The cubic root of 13219470 is about 236.4492901421.

It can be divided in two parts, 13219 and 470, that added together give a square (13689 = 1172).

The spelling of 13219470 in words is "thirteen million, two hundred nineteen thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 4451 8902 13353 22255 26706 40059 44510 48961 66765 80118 97922 120177 133530 146883 200295 240354 244805 293766 400590 440649 489610 600885 734415 881298 1201770 1321947 1468830 2203245 2643894 4406490 6609735 13219470