Search a number
-
+
13804300 = 2252316173
BaseRepresentation
bin110100101010…
…001100001100
3221222022221101
4310222030030
512013214200
61211512444
7225222526
oct64521414
927868841
1013804300
117879414
124758724
132b24333
141b94a16
15132a26a
hexd2a30c

13804300 has 72 divisors (see below), whose sum is σ = 31859072. Its totient is φ = 5184000.

The previous prime is 13804277. The next prime is 13804303. The reversal of 13804300 is 340831.

It is not an unprimeable number, because it can be changed into a prime (13804303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189064 + ... + 189136.

Almost surely, 213804300 is an apocalyptic number.

13804300 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 13804300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15929536).

13804300 is an abundant number, since it is smaller than the sum of its proper divisors (18054772).

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

13804300 is a wasteful number, since it uses less digits than its factorization.

13804300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 13804300 is about 3715.4138396685. The cubic root of 13804300 is about 239.8859411731.

The spelling of 13804300 in words is "thirteen million, eight hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 61 62 73 100 122 124 146 155 244 292 305 310 365 610 620 730 775 1220 1460 1525 1550 1825 1891 2263 3050 3100 3650 3782 4453 4526 6100 7300 7564 8906 9052 9455 11315 17812 18910 22265 22630 37820 44530 45260 47275 56575 89060 94550 111325 113150 138043 189100 222650 226300 276086 445300 552172 690215 1380430 2760860 3451075 6902150 13804300