Search a number
-
+
2791920 = 243511633
BaseRepresentation
bin1010101001100111110000
312020211210110
422221213300
51203320140
6135501320
732505465
oct12514760
95224713
102791920
11163767a
12b27840
13769a31
1452966c
153a2380
hex2a99f0

2791920 has 40 divisors (see below), whose sum is σ = 8655696. Its totient is φ = 744448.

The previous prime is 2791913. The next prime is 2791937. The reversal of 2791920 is 291972.

2791920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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, 5577 + ... + 6056.

22791920 is an apocalyptic number.

2791920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2791920 is an abundant number, since it is smaller than the sum of its proper divisors (5863776).

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

2791920 is a wasteful number, since it uses less digits than its factorization.

2791920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11649 (or 11643 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 2791920 is about 1670.9039469700. The cubic root of 2791920 is about 140.8102674159.

The spelling of 2791920 in words is "two million, seven hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 11633 23266 34899 46532 58165 69798 93064 116330 139596 174495 186128 232660 279192 348990 465320 558384 697980 930640 1395960 2791920