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2260038 = 23113283
BaseRepresentation
bin1000100111110001000110
311020211012010
420213301012
51034310123
6120235050
725132014
oct10476106
94224163
102260038
111304000
1290ba86
13611901
1442b8b4
152e9993
hex227c46

2260038 has 32 divisors (see below), whose sum is σ = 4989312. Its totient is φ = 682440.

The previous prime is 2260019. The next prime is 2260039. The reversal of 2260038 is 8300622.

It is a super-2 number, since 2×22600382 = 10215543522888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2259996 and 2260023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7845 + ... + 8127.

It is an arithmetic number, because the mean of its divisors is an integer number (155916).

22260038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494656).

2260038 is an abundant number, since it is smaller than the sum of its proper divisors (2729274).

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

2260038 is a wasteful number, since it uses less digits than its factorization.

2260038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

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

The square root of 2260038 is about 1503.3422763962. The cubic root of 2260038 is about 131.2316473205.

The spelling of 2260038 in words is "two million, two hundred sixty thousand, thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 283 363 566 726 849 1331 1698 2662 3113 3993 6226 7986 9339 18678 34243 68486 102729 205458 376673 753346 1130019 2260038