Search a number
-
+
2926280 = 235721493
BaseRepresentation
bin1011001010011011001000
312111200002202
423022123020
51222120110
6142415332
733605300
oct13123310
95450082
102926280
111719615
12b91548
137b5c36
14562600
153cc0a5
hex2ca6c8

2926280 has 48 divisors (see below), whose sum is σ = 7664220. Its totient is φ = 1002624.

The previous prime is 2926277. The next prime is 2926283. The reversal of 2926280 is 826292.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2926277) and next prime (2926283).

It can be written as a sum of positive squares in 2 ways, for example, as 2869636 + 56644 = 1694^2 + 238^2 .

It is a super-2 number, since 2×29262802 = 17126229276800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2926283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1214 + ... + 2706.

22926280 is an apocalyptic number.

2926280 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 2926280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832110).

2926280 is an abundant number, since it is smaller than the sum of its proper divisors (4737940).

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

2926280 is a wasteful number, since it uses less digits than its factorization.

2926280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2926280 is about 1710.6373081399. The cubic root of 2926280 is about 143.0337834016.

The spelling of 2926280 in words is "two million, nine hundred twenty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1493 1960 2986 5972 7465 10451 11944 14930 20902 29860 41804 52255 59720 73157 83608 104510 146314 209020 292628 365785 418040 585256 731570 1463140 2926280