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428670 = 232511433
BaseRepresentation
bin1101000101001111110
3210210000200
41220221332
5102204140
613104330
73433524
oct1505176
9723020
10428670
11273080
121880a6
13120168
14b2314
1587030
hex68a7e

428670 has 48 divisors (see below), whose sum is σ = 1218672. Its totient is φ = 103680.

The previous prime is 428663. The next prime is 428671. The reversal of 428670 is 76824.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774 + ... + 1206.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2428670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336).

428670 is an abundant number, since it is smaller than the sum of its proper divisors (790002).

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

428670 is a wasteful number, since it uses less digits than its factorization.

428670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 428670 is about 654.7289515517. The cubic root of 428670 is about 75.4005239335.

It can be divided in two parts, 4286 and 70, that added together give a square (4356 = 662).

The spelling of 428670 in words is "four hundred twenty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 433 495 866 990 1299 2165 2598 3897 4330 4763 6495 7794 9526 12990 14289 19485 23815 28578 38970 42867 47630 71445 85734 142890 214335 428670