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2261420 = 225729557
BaseRepresentation
bin1000101000000110101100
311020220002022
420220012230
51034331140
6120245312
725136030
oct10500654
94226068
102261420
111305047
12910838
13612425
1442c1c0
152ea0b5
hex2281ac

2261420 has 48 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 747264.

The previous prime is 2261407. The next prime is 2261447. The reversal of 2261420 is 241622.

It is a super-2 number, since 2×22614202 = 10228040832800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3782 + ... + 4338.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22261420 is an apocalyptic number.

2261420 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 2261420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2261420 is an abundant number, since it is smaller than the sum of its proper divisors (3363220).

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

2261420 is a wasteful number, since it uses less digits than its factorization.

2261420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2261420 is about 1503.8018486490. The cubic root of 2261420 is about 131.2583909979.

The spelling of 2261420 in words is "two million, two hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 557 580 812 1015 1114 2030 2228 2785 3899 4060 5570 7798 11140 15596 16153 19495 32306 38990 64612 77980 80765 113071 161530 226142 323060 452284 565355 1130710 2261420