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1980928 = 295373
BaseRepresentation
bin111100011101000000000
310201122022201
413203220000
51001342203
6110242544
722560205
oct7435000
93648281
101980928
111133334
127b6454
13544861
14397cac
15291e1d
hex1e3a00

1980928 has 40 divisors (see below), whose sum is σ = 4087908. Its totient is φ = 958464.

The previous prime is 1980919. The next prime is 1980929. The reversal of 1980928 is 8290891.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 43264 = 1392^2 + 208^2 .

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (1980929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27100 + ... + 27172.

21980928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043954).

1980928 is an abundant number, since it is smaller than the sum of its proper divisors (2106980).

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

1980928 is an frugal number, since it uses more digits than its factorization.

1980928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 1980928 is about 1407.4544397600. The cubic root of 1980928 is about 125.5903382834.

Subtracting from 1980928 its sum of digits (37), we obtain a palindrome (1980891).

The spelling of 1980928 in words is "one million, nine hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 64 73 106 128 146 212 256 292 424 512 584 848 1168 1696 2336 3392 3869 4672 6784 7738 9344 13568 15476 18688 27136 30952 37376 61904 123808 247616 495232 990464 1980928