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2260140 = 2235139271
BaseRepresentation
bin1000100111110010101100
311020211022220
420213302230
51034311030
6120235340
725132221
oct10476254
94224286
102260140
111304093
1290bb50
1361197c
1442b948
152e9a10
hex227cac

2260140 has 48 divisors (see below), whose sum is σ = 6397440. Its totient is φ = 596160.

The previous prime is 2260127. The next prime is 2260151. The reversal of 2260140 is 410622.

2260140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8205 + ... + 8475.

It is an arithmetic number, because the mean of its divisors is an integer number (133280).

22260140 is an apocalyptic number.

2260140 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 2260140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198720).

2260140 is an abundant number, since it is smaller than the sum of its proper divisors (4137300).

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

2260140 is a wasteful number, since it uses less digits than its factorization.

2260140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2260140 is about 1503.3762004236. The cubic root of 2260140 is about 131.2336215390.

Adding to 2260140 its reverse (410622), we get a palindrome (2670762).

The spelling of 2260140 in words is "two million, two hundred sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 271 278 417 542 556 695 813 834 1084 1355 1390 1626 1668 2085 2710 2780 3252 4065 4170 5420 8130 8340 16260 37669 75338 113007 150676 188345 226014 376690 452028 565035 753380 1130070 2260140