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1420900 = 2252131093
BaseRepresentation
bin101011010111001100100
32200012002221
411122321210
5330432100
650242124
715035365
oct5327144
92605087
101420900
118905a8
12586344
133a9990
1428db6c
151d101a
hex15ae64

1420900 has 36 divisors (see below), whose sum is σ = 3323572. Its totient is φ = 524160.

The previous prime is 1420891. The next prime is 1420901. The reversal of 1420900 is 90241.

It can be written as a sum of positive squares in 6 ways, for example, as 36 + 1420864 = 6^2 + 1192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420901) 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, 754 + ... + 1846.

21420900 is an apocalyptic number.

1420900 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 1420900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661786).

1420900 is an abundant number, since it is smaller than the sum of its proper divisors (1902672).

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

1420900 is a wasteful number, since it uses less digits than its factorization.

1420900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1420900 is about 1192.0151005755. The cubic root of 1420900 is about 112.4228277322.

The spelling of 1420900 in words is "one million, four hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1093 1300 2186 4372 5465 10930 14209 21860 27325 28418 54650 56836 71045 109300 142090 284180 355225 710450 1420900