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2260962 = 2321119601
BaseRepresentation
bin1000100111111111100010
311020212110100
420213333202
51034322322
6120243230
725134504
oct10477742
94225410
102260962
111304770
12910516
13612162
1442bd74
152e9dac
hex227fe2

2260962 has 48 divisors (see below), whose sum is σ = 5634720. Its totient is φ = 648000.

The previous prime is 2260961. The next prime is 2260967. The reversal of 2260962 is 2690622.

It is a super-2 number, since 2×22609622 = 10223898330888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3462 + ... + 4062.

It is an arithmetic number, because the mean of its divisors is an integer number (117390).

22260962 is an apocalyptic number.

2260962 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817360).

2260962 is an abundant number, since it is smaller than the sum of its proper divisors (3373758).

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

2260962 is a wasteful number, since it uses less digits than its factorization.

2260962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2260962 is about 1503.6495602367. The cubic root of 2260962 is about 131.2495292500.

The spelling of 2260962 in words is "two million, two hundred sixty thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 601 627 1202 1254 1803 1881 3606 3762 5409 6611 10818 11419 13222 19833 22838 34257 39666 59499 68514 102771 118998 125609 205542 251218 376827 753654 1130481 2260962