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2057840 = 24529887
BaseRepresentation
bin111110110011001110000
310212112211022
413312121300
51011322330
6112035012
723330351
oct7663160
93775738
102057840
1111860a4
12832a68
13570875
143b7d28
152a9ae5
hex1f6670

2057840 has 40 divisors (see below), whose sum is σ = 4955040. Its totient is φ = 793856.

The previous prime is 2057813. The next prime is 2057849. The reversal of 2057840 is 487502.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1877 + ... + 2763.

It is an arithmetic number, because the mean of its divisors is an integer number (123876).

22057840 is an apocalyptic number.

2057840 is a gapful number since it is divisible by the number (20) 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 2057840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477520).

2057840 is an abundant number, since it is smaller than the sum of its proper divisors (2897200).

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

2057840 is a wasteful number, since it uses less digits than its factorization.

2057840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2057840 is about 1434.5173404320. The cubic root of 2057840 is about 127.1951450489.

The spelling of 2057840 in words is "two million, fifty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 887 1160 1774 2320 3548 4435 7096 8870 14192 17740 25723 35480 51446 70960 102892 128615 205784 257230 411568 514460 1028920 2057840