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2053140 = 2235191801
BaseRepresentation
bin111110101010000010100
310212022101020
413311100110
51011200030
6112001140
723310555
oct7652024
93768336
102053140
111182611
128301b0
1356b69b
143b632c
152a8510
hex1f5414

2053140 has 48 divisors (see below), whose sum is σ = 6054720. Its totient is φ = 518400.

The previous prime is 2053127. The next prime is 2053189. The reversal of 2053140 is 413502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240 + ... + 2040.

It is an arithmetic number, because the mean of its divisors is an integer number (126140).

22053140 is an apocalyptic number.

2053140 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 2053140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027360).

2053140 is an abundant number, since it is smaller than the sum of its proper divisors (4001580).

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

2053140 is a wasteful number, since it uses less digits than its factorization.

2053140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2053140 is about 1432.8782223204. The cubic root of 2053140 is about 127.0982355244.

Adding to 2053140 its reverse (413502), we get a palindrome (2466642).

The spelling of 2053140 in words is "two million, fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1801 3602 5403 7204 9005 10806 18010 21612 27015 34219 36020 54030 68438 102657 108060 136876 171095 205314 342190 410628 513285 684380 1026570 2053140