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2130340 = 225293673
BaseRepresentation
bin1000001000000110100100
311000020021111
420020012210
51021132330
6113354404
724051622
oct10100644
94006244
102130340
111225613
12868a04
13597874
143d6512
152c132a
hex2081a4

2130340 has 24 divisors (see below), whose sum is σ = 4629240. Its totient is φ = 822528.

The previous prime is 2130307. The next prime is 2130341. The reversal of 2130340 is 430312.

It can be written as a sum of positive squares in 4 ways, for example, as 10404 + 2119936 = 102^2 + 1456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2130340.

It is not an unprimeable number, because it can be changed into a prime (2130341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1257 + ... + 2416.

It is an arithmetic number, because the mean of its divisors is an integer number (192885).

22130340 is an apocalyptic number.

2130340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130340 is an abundant number, since it is smaller than the sum of its proper divisors (2498900).

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

2130340 is a wasteful number, since it uses less digits than its factorization.

2130340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2130340 is about 1459.5684293653. The cubic root of 2130340 is about 128.6716807744.

Adding to 2130340 its reverse (430312), we get a palindrome (2560652).

The spelling of 2130340 in words is "two million, one hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3673 7346 14692 18365 36730 73460 106517 213034 426068 532585 1065170 2130340