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2930720 = 255131409
BaseRepresentation
bin1011001011100000100000
312111220012012
423023200200
51222240340
6142452052
733624242
oct13134040
95456165
102930720
111721991
12b94028
137b7c70
14564092
153cd565
hex2cb820

2930720 has 48 divisors (see below), whose sum is σ = 7461720. Its totient is φ = 1081344.

The previous prime is 2930713. The next prime is 2930723. The reversal of 2930720 is 270392.

It can be written as a sum of positive squares in 4 ways, for example, as 868624 + 2062096 = 932^2 + 1436^2 .

It is not an unprimeable number, because it can be changed into a prime (2930723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1376 + ... + 2784.

22930720 is an apocalyptic number.

2930720 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 2930720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730860).

2930720 is an abundant number, since it is smaller than the sum of its proper divisors (4531000).

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

2930720 is a wasteful number, since it uses less digits than its factorization.

2930720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 2930720 is about 1711.9345781892. The cubic root of 2930720 is about 143.1060878375.

The spelling of 2930720 in words is "two million, nine hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1409 2080 2818 5636 7045 11272 14090 18317 22544 28180 36634 45088 56360 73268 91585 112720 146536 183170 225440 293072 366340 586144 732680 1465360 2930720