Search a number
-
+
13304100 = 2235261727
BaseRepresentation
bin110010110000…
…000100100100
3221000220210110
4302300010210
511401212400
61153053020
7221040315
oct62600444
927026713
1013304100
117567627
124557170
1329aa764
141aa460c
15127be50
hexcb0124

13304100 has 72 divisors (see below), whose sum is σ = 39178048. Its totient is φ = 3484800.

The previous prime is 13304099. The next prime is 13304101. The reversal of 13304100 is 140331.

It is an interprime number because it is at equal distance from previous prime (13304099) and next prime (13304101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13304101) 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, 17937 + ... + 18663.

Almost surely, 213304100 is an apocalyptic number.

13304100 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 13304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19589024).

13304100 is an abundant number, since it is smaller than the sum of its proper divisors (25873948).

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

13304100 is a wasteful number, since it uses less digits than its factorization.

13304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13304100 is about 3647.4785811571. The cubic root of 13304100 is about 236.9527937456.

Adding to 13304100 its reverse (140331), we get a palindrome (13444431).

The spelling of 13304100 in words is "thirteen million, three hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 727 732 915 1220 1454 1525 1830 2181 2908 3050 3635 3660 4362 4575 6100 7270 8724 9150 10905 14540 18175 18300 21810 36350 43620 44347 54525 72700 88694 109050 133041 177388 218100 221735 266082 443470 532164 665205 886940 1108675 1330410 2217350 2660820 3326025 4434700 6652050 13304100