Search a number
-
+
13241680 = 2451031607
BaseRepresentation
bin110010100000…
…110101010000
3220220202011121
4302200311100
511342213210
61151452024
7220360324
oct62406520
926822147
1013241680
117524741
124527014
13298821a
141a89984
1512686da
hexca0d50

13241680 has 40 divisors (see below), whose sum is σ = 31105152. Its totient is φ = 5241984.

The previous prime is 13241663. The next prime is 13241699. The reversal of 13241680 is 8614231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7437 + ... + 9043.

Almost surely, 213241680 is an apocalyptic number.

13241680 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 13241680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552576).

13241680 is an abundant number, since it is smaller than the sum of its proper divisors (17863472).

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

13241680 is a wasteful number, since it uses less digits than its factorization.

13241680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 13241680 is about 3638.9119252876. The cubic root of 13241680 is about 236.5816353482.

It can be divided in two parts, 132416 and 80, that added together give a square (132496 = 3642).

The spelling of 13241680 in words is "thirteen million, two hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1607 1648 2060 3214 4120 6428 8035 8240 12856 16070 25712 32140 64280 128560 165521 331042 662084 827605 1324168 1655210 2648336 3310420 6620840 13241680