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13545630 = 234572389
BaseRepresentation
bin110011101011…
…000010011110
3221111012010000
4303223002132
511431430010
61202155130
7223064430
oct63530236
927435100
1013545630
11771203a
124652aa6
132a63687
141b28650
1512c87c0
hexceb09e

13545630 has 80 divisors (see below), whose sum is σ = 41643360. Its totient is φ = 3094848.

The previous prime is 13545629. The next prime is 13545647. The reversal of 13545630 is 3654531.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13545594 and 13545603.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 4476 + ... + 6864.

It is an arithmetic number, because the mean of its divisors is an integer number (520542).

Almost surely, 213545630 is an apocalyptic number.

13545630 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 13545630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20821680).

13545630 is an abundant number, since it is smaller than the sum of its proper divisors (28097730).

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

13545630 is a wasteful number, since it uses less digits than its factorization.

13545630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 13545630 is about 3680.4388325307. The cubic root of 13545630 is about 238.3781268876.

The spelling of 13545630 in words is "thirteen million, five hundred forty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2389 2835 4778 5670 7167 11945 14334 16723 21501 23890 33446 35835 43002 50169 64503 71670 83615 100338 107505 129006 150507 167230 193509 215010 250845 301014 322515 387018 451521 501690 645030 752535 903042 967545 1354563 1505070 1935090 2257605 2709126 4515210 6772815 13545630