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2012320 = 25512577
BaseRepresentation
bin111101011010010100000
310210020101101
413223102200
51003343240
6111044144
723050552
oct7532240
93706341
102012320
111154982
12810654
13555c2b
143a54d2
1529b39a
hex1eb4a0

2012320 has 24 divisors (see below), whose sum is σ = 4754484. Its totient is φ = 804864.

The previous prime is 2012317. The next prime is 2012323. The reversal of 2012320 is 232102.

It is an interprime number because it is at equal distance from previous prime (2012317) and next prime (2012323).

It can be written as a sum of positive squares in 2 ways, for example, as 1948816 + 63504 = 1396^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2012297 and 2012306.

It is not an unprimeable number, because it can be changed into a prime (2012323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6129 + ... + 6448.

22012320 is an apocalyptic number.

2012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012320 is an abundant number, since it is smaller than the sum of its proper divisors (2742164).

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

2012320 is a wasteful number, since it uses less digits than its factorization.

2012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12592 (or 12584 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2012320 is about 1418.5626528286. The cubic root of 2012320 is about 126.2502793838.

Adding to 2012320 its reverse (232102), we get a palindrome (2244422).

It can be divided in two parts, 2012 and 320, that added together give a palindrome (2332).

The spelling of 2012320 in words is "two million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 12577 25154 50308 62885 100616 125770 201232 251540 402464 503080 1006160 2012320