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1428140 = 22571012
BaseRepresentation
bin101011100101010101100
32200120001002
411130222230
5331200030
650335432
715065450
oct5345254
92616032
101428140
11895a8a
1258a578
133b006c
14292660
151d3245
hex15caac

1428140 has 36 divisors (see below), whose sum is σ = 3461808. Its totient is φ = 484800.

The previous prime is 1428137. The next prime is 1428143. The reversal of 1428140 is 418241.

1428140 = T67 + T68 + ... + T206.

It is an interprime number because it is at equal distance from previous prime (1428137) and next prime (1428143).

It is a Smith number, since the sum of its digits (20) 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 (20).

It is not an unprimeable number, because it can be changed into a prime (1428143) 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 11 ways as a sum of consecutive naturals, for example, 14090 + ... + 14190.

21428140 is an apocalyptic number.

1428140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730904).

1428140 is an abundant number, since it is smaller than the sum of its proper divisors (2033668).

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

1428140 is a wasteful number, since it uses less digits than its factorization.

1428140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1428140 is about 1195.0481161861. The cubic root of 1428140 is about 112.6134493409.

The spelling of 1428140 in words is "one million, four hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 10201 14140 20402 40804 51005 71407 102010 142814 204020 285628 357035 714070 1428140