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1923040 = 255717101
BaseRepresentation
bin111010101011111100000
310121200220201
413111133200
5443014130
6105114544
722226350
oct7253740
93550821
101923040
1110a3899
12788a54
135243c2
14380b60
1527ebca
hex1d57e0

1923040 has 96 divisors (see below), whose sum is σ = 5552064. Its totient is φ = 614400.

The previous prime is 1923037. The next prime is 1923049. The reversal of 1923040 is 403291.

It is a junction number, because it is equal to n+sod(n) for n = 1922999 and 1923017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1923049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18990 + ... + 19090.

It is an arithmetic number, because the mean of its divisors is an integer number (57834).

21923040 is an apocalyptic number.

1923040 is a gapful number since it is divisible by the number (10) 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 1923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776032).

1923040 is an abundant number, since it is smaller than the sum of its proper divisors (3629024).

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

1923040 is a wasteful number, since it uses less digits than its factorization.

1923040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1923040 is about 1386.7371776945. The cubic root of 1923040 is about 124.3548627785.

The spelling of 1923040 in words is "one million, nine hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 101 112 119 136 140 160 170 202 224 238 272 280 340 404 476 505 544 560 595 680 707 808 952 1010 1120 1190 1360 1414 1616 1717 1904 2020 2380 2720 2828 3232 3434 3535 3808 4040 4760 5656 6868 7070 8080 8585 9520 11312 12019 13736 14140 16160 17170 19040 22624 24038 27472 28280 34340 48076 54944 56560 60095 68680 96152 113120 120190 137360 192304 240380 274720 384608 480760 961520 1923040