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1928440 = 235371303
BaseRepresentation
bin111010110110011111000
310121222022201
413112303320
5443202230
6105155544
722251163
oct7266370
93558281
101928440
1110a7958
1278bbb4
135269b7
14382ada
152815ca
hex1d6cf8

1928440 has 32 divisors (see below), whose sum is σ = 4459680. Its totient is φ = 749952.

The previous prime is 1928419. The next prime is 1928447. The reversal of 1928440 is 448291.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1928399 and 1928408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928447) 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 7 ways as a sum of consecutive naturals, for example, 829 + ... + 2131.

It is an arithmetic number, because the mean of its divisors is an integer number (139365).

21928440 is an apocalyptic number.

1928440 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 1928440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229840).

1928440 is an abundant number, since it is smaller than the sum of its proper divisors (2531240).

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

1928440 is a wasteful number, since it uses less digits than its factorization.

1928440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1928440 is about 1388.6828291586. The cubic root of 1928440 is about 124.4711523836.

The spelling of 1928440 in words is "one million, nine hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1303 1480 2606 5212 6515 10424 13030 26060 48211 52120 96422 192844 241055 385688 482110 964220 1928440