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2672140 = 2252337157
BaseRepresentation
bin1010001100011000001100
312000202111011
422030120030
51141002030
6133135004
731466332
oct12143014
95022434
102672140
111565689
12a8a464
13727363
144d7b52
1537bb2a
hex28c60c

2672140 has 48 divisors (see below), whose sum is σ = 6052032. Its totient is φ = 988416.

The previous prime is 2672123. The next prime is 2672143. The reversal of 2672140 is 412762.

It is not an unprimeable number, because it can be changed into a prime (2672143) 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, 16942 + ... + 17098.

It is an arithmetic number, because the mean of its divisors is an integer number (126084).

22672140 is an apocalyptic number.

2672140 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 2672140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026016).

2672140 is an abundant number, since it is smaller than the sum of its proper divisors (3379892).

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

2672140 is a wasteful number, since it uses less digits than its factorization.

2672140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2672140 is about 1634.6681620439. The cubic root of 2672140 is about 138.7670649681.

The spelling of 2672140 in words is "two million, six hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 157 185 230 314 370 460 628 740 785 851 1570 1702 3140 3404 3611 4255 5809 7222 8510 11618 14444 17020 18055 23236 29045 36110 58090 72220 116180 133607 267214 534428 668035 1336070 2672140