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1420884 = 2232291361
BaseRepresentation
bin101011010111001010100
32200012002100
411122321110
5330432014
650242100
715035343
oct5327124
92605070
101420884
11890593
12586330
133a997a
1428db5a
151d1009
hex15ae54

1420884 has 36 divisors (see below), whose sum is σ = 3718260. Its totient is φ = 456960.

The previous prime is 1420883. The next prime is 1420891. The reversal of 1420884 is 4880241.

It can be written as a sum of positive squares in 2 ways, for example, as 476100 + 944784 = 690^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×14208842 = 4037822682912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420883) 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, 364 + ... + 1724.

It is an arithmetic number, because the mean of its divisors is an integer number (103285).

21420884 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 1420884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859130).

1420884 is an abundant number, since it is smaller than the sum of its proper divisors (2297376).

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

1420884 is a wasteful number, since it uses less digits than its factorization.

1420884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1420884 is about 1192.0083892322. The cubic root of 1420884 is about 112.4224057527.

It can be divided in two parts, 1420 and 884, that added together give a square (2304 = 482).

The spelling of 1420884 in words is "one million, four hundred twenty thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1361 2722 4083 5444 8166 12249 16332 24498 39469 48996 78938 118407 157876 236814 355221 473628 710442 1420884