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2260461 = 37107641
BaseRepresentation
bin1000100111110111101101
311020211202210
420213313231
51034313321
6120241033
725133160
oct10476755
94224683
102260461
111304355
12910179
13611b68
1442bad7
152e9b76
hex227ded

2260461 has 8 divisors (see below), whose sum is σ = 3444544. Its totient is φ = 1291680.

The previous prime is 2260457. The next prime is 2260483. The reversal of 2260461 is 1640622.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2260461 - 22 = 2260457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 107641 = 2260461 / (2 + 2 + 6 + 0 + 4 + 6 + 1).

It is a Duffinian number.

2260461 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260421) 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, 53800 + ... + 53841.

It is an arithmetic number, because the mean of its divisors is an integer number (430568).

22260461 is an apocalyptic number.

2260461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2260461 is a deficient number, since it is larger than the sum of its proper divisors (1184083).

2260461 is a wasteful number, since it uses less digits than its factorization.

2260461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107651.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2260461 is about 1503.4829563384. The cubic root of 2260461 is about 131.2398341333.

The spelling of 2260461 in words is "two million, two hundred sixty thousand, four hundred sixty-one".

Divisors: 1 3 7 21 107641 322923 753487 2260461