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2131140 = 2235113229
BaseRepresentation
bin1000001000010011000100
311000021101010
420020103010
51021144030
6113402220
724054144
oct10102304
94007333
102131140
111226180
12869370
1359803b
143d6924
152c16b0
hex2084c4

2131140 has 48 divisors (see below), whose sum is σ = 6511680. Its totient is φ = 516480.

The previous prime is 2131133. The next prime is 2131141. The reversal of 2131140 is 411312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2131141) 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, 955 + ... + 2274.

It is an arithmetic number, because the mean of its divisors is an integer number (135660).

22131140 is an apocalyptic number.

2131140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131140 is an abundant number, since it is smaller than the sum of its proper divisors (4380540).

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

2131140 is a wasteful number, since it uses less digits than its factorization.

2131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2131140 is about 1459.8424572535. The cubic root of 2131140 is about 128.6877853183.

Adding to 2131140 its reverse (411312), we get a palindrome (2542452).

The spelling of 2131140 in words is "two million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3229 6458 9687 12916 16145 19374 32290 35519 38748 48435 64580 71038 96870 106557 142076 177595 193740 213114 355190 426228 532785 710380 1065570 2131140