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1000428 = 2231121353
BaseRepresentation
bin11110100001111101100
31212211022220
43310033230
5224003203
633235340
711334462
oct3641754
91784286
101000428
11623700
12402b50
13290490
141c0832
1514b653
hexf43ec

1000428 has 72 divisors (see below), whose sum is σ = 2815344. Its totient is φ = 274560.

The previous prime is 1000427. The next prime is 1000429. The reversal of 1000428 is 8240001.

It is an interprime number because it is at equal distance from previous prime (1000427) and next prime (1000429).

It is not an unprimeable number, because it can be changed into a prime (1000423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18850 + ... + 18902.

It is an arithmetic number, because the mean of its divisors is an integer number (39102).

21000428 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 1000428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407672).

1000428 is an abundant number, since it is smaller than the sum of its proper divisors (1814916).

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

1000428 is a wasteful number, since it uses less digits than its factorization.

1000428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1000428 is about 1000.2139771069. The cubic root of 1000428 is about 100.0142646318.

Adding to 1000428 its reverse (8240001), we get a palindrome (9240429).

The spelling of 1000428 in words is "one million, four hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 53 66 78 106 121 132 143 156 159 212 242 286 318 363 429 484 572 583 636 689 726 858 1166 1378 1452 1573 1716 1749 2067 2332 2756 3146 3498 4134 4719 6292 6413 6996 7579 8268 9438 12826 15158 18876 19239 22737 25652 30316 38478 45474 76956 83369 90948 166738 250107 333476 500214 1000428