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1928140 = 2251753107
BaseRepresentation
bin111010110101111001100
310121221220121
413112233030
5443200030
6105154324
722250254
oct7265714
93557817
101928140
1110a7705
1278b9a4
13526816
14382964
1528147a
hex1d6bcc

1928140 has 48 divisors (see below), whose sum is σ = 4408992. Its totient is φ = 705536.

The previous prime is 1928099. The next prime is 1928141. The reversal of 1928140 is 418291.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1928141) 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 15 ways as a sum of consecutive naturals, for example, 17967 + ... + 18073.

It is an arithmetic number, because the mean of its divisors is an integer number (91854).

21928140 is an apocalyptic number.

1928140 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 1928140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204496).

1928140 is an abundant number, since it is smaller than the sum of its proper divisors (2480852).

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

1928140 is a wasteful number, since it uses less digits than its factorization.

1928140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 1928140 is about 1388.5748089318. The cubic root of 1928140 is about 124.4646975493.

It can be divided in two parts, 19281 and 40, that added together give a square (19321 = 1392).

The spelling of 1928140 in words is "one million, nine hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 107 170 212 214 265 340 428 530 535 901 1060 1070 1802 1819 2140 3604 3638 4505 5671 7276 9010 9095 11342 18020 18190 22684 28355 36380 56710 96407 113420 192814 385628 482035 964070 1928140