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2029840 = 24525373
BaseRepresentation
bin111101111100100010000
310211010102021
413233210100
51004423330
6111301224
723152621
oct7574420
93733367
102029840
11116705a
1281a814
13560bb7
143aba48
152a167a
hex1ef910

2029840 has 20 divisors (see below), whose sum is σ = 4719564. Its totient is φ = 811904.

The previous prime is 2029831. The next prime is 2029843. The reversal of 2029840 is 489202.

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 1763584 = 516^2 + 1328^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2029843) 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 3 ways as a sum of consecutive naturals, for example, 12607 + ... + 12766.

22029840 is an apocalyptic number.

2029840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2029840 is an abundant number, since it is smaller than the sum of its proper divisors (2689724).

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

2029840 is a wasteful number, since it uses less digits than its factorization.

2029840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25386 (or 25380 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2029840 is about 1424.7245347786. The cubic root of 2029840 is about 126.6156150071.

The spelling of 2029840 in words is "two million, twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25373 50746 101492 126865 202984 253730 405968 507460 1014920 2029840