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1921320 = 23345593
BaseRepresentation
bin111010101000100101000
310121121120000
413111010220
5442440240
6105103000
722221342
oct7250450
93547500
101921320
1110a2575
12787a60
1352369b
14380292
1527e430
hex1d5128

1921320 has 80 divisors (see below), whose sum is σ = 6468660. Its totient is φ = 511488.

The previous prime is 1921319. The next prime is 1921327. The reversal of 1921320 is 231291.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1920996 + 324 = 1386^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1921293 and 1921302.

It is not an unprimeable number, because it can be changed into a prime (1921327) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2944 + ... + 3536.

21921320 is an apocalyptic number.

1921320 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 1921320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234330).

1921320 is an abundant number, since it is smaller than the sum of its proper divisors (4547340).

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

1921320 is a wasteful number, since it uses less digits than its factorization.

1921320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1921320 is about 1386.1168781888. The cubic root of 1921320 is about 124.3177766779.

The spelling of 1921320 in words is "one million, nine hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 593 648 810 1080 1186 1620 1779 2372 2965 3240 3558 4744 5337 5930 7116 8895 10674 11860 14232 16011 17790 21348 23720 26685 32022 35580 42696 48033 53370 64044 71160 80055 96066 106740 128088 160110 192132 213480 240165 320220 384264 480330 640440 960660 1921320