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1923920 = 24524049
BaseRepresentation
bin111010101101101010000
310121202010022
413111231100
5443031140
6105123012
722232045
oct7255520
93552108
101923920
1110a4519
12789468
1352491b
143811cc
152800b5
hex1d5b50

1923920 has 20 divisors (see below), whose sum is σ = 4473300. Its totient is φ = 769536.

The previous prime is 1923917. The next prime is 1923979. The reversal of 1923920 is 293291.

It can be written as a sum of positive squares in 2 ways, for example, as 817216 + 1106704 = 904^2 + 1052^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1923920.

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 3 ways as a sum of consecutive naturals, for example, 11945 + ... + 12104.

It is an arithmetic number, because the mean of its divisors is an integer number (223665).

21923920 is an apocalyptic number.

1923920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1923920 is an abundant number, since it is smaller than the sum of its proper divisors (2549380).

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

1923920 is a wasteful number, since it uses less digits than its factorization.

1923920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24062 (or 24056 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 1923920 is about 1387.0544329622. The cubic root of 1923920 is about 124.3738285118.

The spelling of 1923920 in words is "one million, nine hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 24049 48098 96196 120245 192392 240490 384784 480980 961960 1923920