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13485450 = 2352112743
BaseRepresentation
bin110011011100…
…010110001010
3221101010120010
4303130112022
511423013300
61201012350
7222424116
oct63342612
927333503
1013485450
117680900
1246240b6
132a42174
141b10746
1512b5a50
hexcdc58a

13485450 has 72 divisors (see below), whose sum is σ = 36810144. Its totient is φ = 3264800.

The previous prime is 13485449. The next prime is 13485457. The reversal of 13485450 is 5458431.

13485450 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13485457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17779 + ... + 18521.

It is an arithmetic number, because the mean of its divisors is an integer number (511252).

Almost surely, 213485450 is an apocalyptic number.

13485450 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 13485450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18405072).

13485450 is an abundant number, since it is smaller than the sum of its proper divisors (23324694).

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

13485450 is a wasteful number, since it uses less digits than its factorization.

13485450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 13485450 is about 3672.2540761772. The cubic root of 13485450 is about 238.0245837657.

The spelling of 13485450 in words is "thirteen million, four hundred eighty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 605 726 743 825 1210 1486 1650 1815 2229 3025 3630 3715 4458 6050 7430 8173 9075 11145 16346 18150 18575 22290 24519 37150 40865 49038 55725 81730 89903 111450 122595 179806 204325 245190 269709 408650 449515 539418 612975 899030 1225950 1348545 2247575 2697090 4495150 6742725 13485450