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427180 = 225133153
BaseRepresentation
bin1101000010010101100
3210200222111
41220102230
5102132210
613053404
73426265
oct1502254
9720874
10427180
11271a46
12187264
1311c590
14b196c
158688a
hex684ac

427180 has 48 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 149760.

The previous prime is 427169. The next prime is 427181. The reversal of 427180 is 81724.

It is not an unprimeable number, because it can be changed into a prime (427181) 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, 8034 + ... + 8086.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2427180 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 427180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

427180 is an abundant number, since it is smaller than the sum of its proper divisors (588884).

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

427180 is a wasteful number, since it uses less digits than its factorization.

427180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 427180 is about 653.5900856041. The cubic root of 427180 is about 75.3130617831.

The spelling of 427180 in words is "four hundred twenty-seven thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 31 52 53 62 65 106 124 130 155 212 260 265 310 403 530 620 689 806 1060 1378 1612 1643 2015 2756 3286 3445 4030 6572 6890 8060 8215 13780 16430 21359 32860 42718 85436 106795 213590 427180