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1928920 = 2357832
BaseRepresentation
bin111010110111011011000
310121222222111
413112323120
5443211140
6105202104
722252450
oct7267330
93558874
101928920
1110a8254
12790334
13526c96
14382d60
152817ea
hex1d6ed8

1928920 has 48 divisors (see below), whose sum is σ = 5020560. Its totient is φ = 653376.

The previous prime is 1928873. The next prime is 1928929. The reversal of 1928920 is 298291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23199 + ... + 23281.

It is an arithmetic number, because the mean of its divisors is an integer number (104595).

21928920 is an apocalyptic number.

1928920 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 1928920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510280).

1928920 is an abundant number, since it is smaller than the sum of its proper divisors (3091640).

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

1928920 is an equidigital number, since it uses as much as digits as its factorization.

1928920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1928920 is about 1388.8556440466. The cubic root of 1928920 is about 124.4814787263.

The spelling of 1928920 in words is "one million, nine hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 4648 5810 6889 11620 13778 23240 27556 34445 48223 55112 68890 96446 137780 192892 241115 275560 385784 482230 964460 1928920