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2728920 = 233522741
BaseRepresentation
bin1010011010001111011000
312010122101010
422122033120
51144311140
6134253520
732124015
oct12321730
95118333
102728920
1115a4307
12ab72a0
1374715c
1451070c
1538d880
hex29a3d8

2728920 has 32 divisors (see below), whose sum is σ = 8187120. Its totient is φ = 727680.

The previous prime is 2728907. The next prime is 2728931. The reversal of 2728920 is 298272.

2728920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11251 + ... + 11490.

22728920 is an apocalyptic number.

2728920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2728920 is an abundant number, since it is smaller than the sum of its proper divisors (5458200).

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

2728920 is a wasteful number, since it uses less digits than its factorization.

2728920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22755 (or 22751 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2728920 is about 1651.9443089887. The cubic root of 2728920 is about 139.7430661678.

The spelling of 2728920 in words is "two million, seven hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 22741 45482 68223 90964 113705 136446 181928 227410 272892 341115 454820 545784 682230 909640 1364460 2728920