Search a number
-
+
427890 = 23517839
BaseRepresentation
bin1101000011101110010
3210201221210
41220131302
5102143030
613100550
73431331
oct1503562
9721853
10427890
11272531
12187756
1311c9b8
14b1d18
1586bb0
hex68772

427890 has 32 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 107264.

The previous prime is 427883. The next prime is 427913. The reversal of 427890 is 98724.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

427890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2427890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

427890 is an abundant number, since it is smaller than the sum of its proper divisors (660750).

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

427890 is a wasteful number, since it uses less digits than its factorization.

427890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 427890 is about 654.1330139964. The cubic root of 427890 is about 75.3547637014.

The spelling of 427890 in words is "four hundred twenty-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 839 1678 2517 4195 5034 8390 12585 14263 25170 28526 42789 71315 85578 142630 213945 427890