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2378260 = 225118913
BaseRepresentation
bin1001000100101000010100
311110211100201
421010220110
51102101020
6122550244
726133463
oct11045024
94424321
102378260
111384905
12968384
13653671
1445c9da
1531ea0a
hex244a14

2378260 has 12 divisors (see below), whose sum is σ = 4994388. Its totient is φ = 951296.

The previous prime is 2378237. The next prime is 2378263. The reversal of 2378260 is 628732.

It can be written as a sum of positive squares in 2 ways, for example, as 407044 + 1971216 = 638^2 + 1404^2 .

It is a super-2 number, since 2×23782602 = 11312241255200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59437 + ... + 59476.

It is an arithmetic number, because the mean of its divisors is an integer number (416199).

22378260 is an apocalyptic number.

2378260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2378260 is an abundant number, since it is smaller than the sum of its proper divisors (2616128).

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

2378260 is a wasteful number, since it uses less digits than its factorization.

2378260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118922 (or 118920 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2378260 is about 1542.1608217044. The cubic root of 2378260 is about 133.4811000658.

The spelling of 2378260 in words is "two million, three hundred seventy-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 118913 237826 475652 594565 1189130 2378260