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428070 = 23519751
BaseRepresentation
bin1101000100000100110
3210202012110
41220200212
5102144240
613101450
73432006
oct1504046
9722173
10428070
11272685
12187886
1311cac6
14b2006
1586c80
hex68826

428070 has 32 divisors (see below), whose sum is σ = 1082880. Its totient is φ = 108000.

The previous prime is 428047. The next prime is 428083. The reversal of 428070 is 70824.

428070 = 1412 + 1422 + ... + 1592.

It is a happy number.

428070 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428070.

It is an unprimeable number.

428070 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (33840).

2428070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541440).

428070 is an abundant number, since it is smaller than the sum of its proper divisors (654810).

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

428070 is a wasteful number, since it uses less digits than its factorization.

428070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 428070 is about 654.2705862256. The cubic root of 428070 is about 75.3653286877.

Adding to 428070 its reverse (70824), we get a palindrome (498894).

The spelling of 428070 in words is "four hundred twenty-eight thousand, seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 751 1502 2253 3755 4506 7510 11265 14269 22530 28538 42807 71345 85614 142690 214035 428070