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413580 = 223561113
BaseRepresentation
bin1100100111110001100
3210000022210
41210332030
5101213310
612510420
73341526
oct1447614
9700283
10413580
11262802
1217b410
1311632b
14aaa16
1582820
hex64f8c

413580 has 48 divisors (see below), whose sum is σ = 1187424. Its totient is φ = 107520.

The previous prime is 413579. The next prime is 413587. The reversal of 413580 is 85314.

Adding to 413580 its reverse (85314), we get a palindrome (498894).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3604 + ... + 3716.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2413580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712).

413580 is an abundant number, since it is smaller than the sum of its proper divisors (773844).

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

413580 is a wasteful number, since it uses less digits than its factorization.

413580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 413580 is about 643.1018581842. The cubic root of 413580 is about 74.5051870929.

The spelling of 413580 in words is "four hundred thirteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 113 122 183 226 244 305 339 366 452 565 610 678 732 915 1130 1220 1356 1695 1830 2260 3390 3660 6780 6893 13786 20679 27572 34465 41358 68930 82716 103395 137860 206790 413580