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13409100 = 22325247317
BaseRepresentation
bin110011001001…
…101101001100
3221020020211100
4303021231030
511413042400
61155223100
7221655405
oct63115514
927206740
1013409100
117629501
1245a7a90
132a164a3
141ad09ac
15129d100
hexcc9b4c

13409100 has 108 divisors (see below), whose sum is σ = 43059744. Its totient is φ = 3488640.

The previous prime is 13409089. The next prime is 13409101. The reversal of 13409100 is 190431.

13409100 is digitally balanced in base 2, because in such base 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 (18).

It is not an unprimeable number, because it can be changed into a prime (13409101) 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, 42142 + ... + 42458.

Almost surely, 213409100 is an apocalyptic number.

13409100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13409100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21529872).

13409100 is an abundant number, since it is smaller than the sum of its proper divisors (29650644).

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

13409100 is a wasteful number, since it uses less digits than its factorization.

13409100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13409100 is about 3661.8437978701. The cubic root of 13409100 is about 237.5745287799.

Adding to 13409100 its reverse (190431), we get a palindrome (13599531).

It can be divided in two parts, 1340 and 9100, that added together give a triangular number (10440 = T144).

The spelling of 13409100 in words is "thirteen million, four hundred nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 47 50 60 75 90 94 100 141 150 180 188 225 235 282 300 317 423 450 470 564 634 705 846 900 940 951 1175 1268 1410 1585 1692 1902 2115 2350 2820 2853 3170 3525 3804 4230 4700 4755 5706 6340 7050 7925 8460 9510 10575 11412 14100 14265 14899 15850 19020 21150 23775 28530 29798 31700 42300 44697 47550 57060 59596 71325 74495 89394 95100 134091 142650 148990 178788 223485 268182 285300 297980 372475 446970 536364 670455 744950 893940 1117425 1340910 1489900 2234850 2681820 3352275 4469700 6704550 13409100