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2780480 = 2658689
BaseRepresentation
bin1010100110110101000000
312020021002202
422212311000
51202433410
6135332332
732430233
oct12466500
95207082
102780480
11162a01a
12b210a8
13764771
1452541a
1539dca5
hex2a6d40

2780480 has 28 divisors (see below), whose sum is σ = 6621780. Its totient is φ = 1112064.

The previous prime is 2780467. The next prime is 2780501. The reversal of 2780480 is 840872.

2780480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1827904 + 952576 = 1352^2 + 976^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4025 + ... + 4664.

22780480 is an apocalyptic number.

2780480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2780480 is an abundant number, since it is smaller than the sum of its proper divisors (3841300).

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

2780480 is an equidigital number, since it uses as much as digits as its factorization.

2780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8706 (or 8696 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 2780480 is about 1667.4771362750. The cubic root of 2780480 is about 140.6176789604.

The spelling of 2780480 in words is "two million, seven hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 8689 17378 34756 43445 69512 86890 139024 173780 278048 347560 556096 695120 1390240 2780480