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2260740 = 223541919
BaseRepresentation
bin1000100111111100000100
311020212011010
420213330010
51034320430
6120242220
725134036
oct10477404
94225133
102260740
111304589
12910370
13612021
1442bc56
152e9cb0
hex227f04

2260740 has 48 divisors (see below), whose sum is σ = 6491520. Its totient is φ = 587520.

The previous prime is 2260733. The next prime is 2260759. The reversal of 2260740 is 470622.

It is a happy number.

It is a super-2 number, since 2×22607402 = 10221890695200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2001 + ... + 2919.

It is an arithmetic number, because the mean of its divisors is an integer number (135240).

22260740 is an apocalyptic number.

2260740 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 2260740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245760).

2260740 is an abundant number, since it is smaller than the sum of its proper divisors (4230780).

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

2260740 is a wasteful number, since it uses less digits than its factorization.

2260740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2260740 is about 1503.5757380325. The cubic root of 2260740 is about 131.2452333870.

The spelling of 2260740 in words is "two million, two hundred sixty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 919 1230 1838 2460 2757 3676 4595 5514 9190 11028 13785 18380 27570 37679 55140 75358 113037 150716 188395 226074 376790 452148 565185 753580 1130370 2260740