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1028430 = 233513293
BaseRepresentation
bin11111011000101001110
31221020202000
43323011032
5230402210
634013130
711512224
oct3730516
91836660
101028430
11642747
124171a6
132a0150
141cab14
15154ac0
hexfb14e

1028430 has 64 divisors (see below), whose sum is σ = 2963520. Its totient is φ = 252288.

The previous prime is 1028411. The next prime is 1028437. The reversal of 1028430 is 348201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3364 + ... + 3656.

It is an arithmetic number, because the mean of its divisors is an integer number (46305).

21028430 is an apocalyptic number.

1028430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481760).

1028430 is an abundant number, since it is smaller than the sum of its proper divisors (1935090).

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

1028430 is a wasteful number, since it uses less digits than its factorization.

1028430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1028430 is about 1014.1153780512. The cubic root of 1028430 is about 100.9388251575.

The spelling of 1028430 in words is "one million, twenty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 293 351 390 585 586 702 879 1170 1465 1755 1758 2637 2930 3510 3809 4395 5274 7618 7911 8790 11427 13185 15822 19045 22854 26370 34281 38090 39555 57135 68562 79110 102843 114270 171405 205686 342810 514215 1028430