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1428984 = 233289223
BaseRepresentation
bin101011100110111111000
32200121012100
411130313320
5331211414
650343400
715101064
oct5346770
92617170
101428984
11896687
1258ab60
133b056b
14292aa4
151d3609
hex15cdf8

1428984 has 48 divisors (see below), whose sum is σ = 3931200. Its totient is φ = 468864.

The previous prime is 1428979. The next prime is 1428991. The reversal of 1428984 is 4898241.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6297 + ... + 6519.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

21428984 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 1428984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965600).

1428984 is an abundant number, since it is smaller than the sum of its proper divisors (2502216).

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

1428984 is a wasteful number, since it uses less digits than its factorization.

1428984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 317 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1428984 is about 1195.4011878863. The cubic root of 1428984 is about 112.6356290137.

The spelling of 1428984 in words is "one million, four hundred twenty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 223 267 356 446 534 669 712 801 892 1068 1338 1602 1784 2007 2136 2676 3204 4014 5352 6408 8028 16056 19847 39694 59541 79388 119082 158776 178623 238164 357246 476328 714492 1428984