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2113140 = 223541859
BaseRepresentation
bin1000000011111001110100
310222100200110
420003321310
51020110030
6113143020
723650521
oct10037164
93870613
102113140
1112136a7
1285aa70
1358caa3
143d0148
152bb1b0
hex203e74

2113140 has 48 divisors (see below), whose sum is σ = 6068160. Its totient is φ = 549120.

The previous prime is 2113129. The next prime is 2113147. The reversal of 2113140 is 413112.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113147) 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, 2031 + ... + 2889.

It is an arithmetic number, because the mean of its divisors is an integer number (126420).

22113140 is an apocalyptic number.

2113140 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 2113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034080).

2113140 is an abundant number, since it is smaller than the sum of its proper divisors (3955020).

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

2113140 is a wasteful number, since it uses less digits than its factorization.

2113140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 910 counting only the distinct ones).

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

The square root of 2113140 is about 1453.6643353952. The cubic root of 2113140 is about 128.3244535750.

Adding to 2113140 its reverse (413112), we get a palindrome (2526252).

The spelling of 2113140 in words is "two million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 859 1230 1718 2460 2577 3436 4295 5154 8590 10308 12885 17180 25770 35219 51540 70438 105657 140876 176095 211314 352190 422628 528285 704380 1056570 2113140