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2012140 = 2251371109
BaseRepresentation
bin111101011001111101100
310210020010201
413223033230
51003342030
6111043244
723050204
oct7531754
93706121
102012140
111154829
12810524
13555b20
143a5404
1529b2ca
hex1eb3ec

2012140 has 48 divisors (see below), whose sum is σ = 4656960. Its totient is φ = 725760.

The previous prime is 2012123. The next prime is 2012147. The reversal of 2012140 is 412102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2012147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18406 + ... + 18514.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

22012140 is an apocalyptic number.

2012140 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 2012140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328480).

2012140 is an abundant number, since it is smaller than the sum of its proper divisors (2644820).

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

2012140 is a wasteful number, since it uses less digits than its factorization.

2012140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2012140 is about 1418.4992069085. The cubic root of 2012140 is about 126.2465149513.

Adding to 2012140 its reverse (412102), we get a palindrome (2424242).

The spelling of 2012140 in words is "two million, twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 109 130 142 218 260 284 355 436 545 710 923 1090 1417 1420 1846 2180 2834 3692 4615 5668 7085 7739 9230 14170 15478 18460 28340 30956 38695 77390 100607 154780 201214 402428 503035 1006070 2012140