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2019328 = 2121729
BaseRepresentation
bin111101101000000000000
310210120222221
413231000000
51004104303
6111140424
723110153
oct7550000
93716887
102019328
11115a173
12814714
1355918c
143a7c9a
1529d4bd
hex1ed000

2019328 has 52 divisors (see below), whose sum is σ = 4423140. Its totient is φ = 917504.

The previous prime is 2019317. The next prime is 2019337. The reversal of 2019328 is 8239102.

It can be written as a sum of positive squares in 2 ways, for example, as 1327104 + 692224 = 1152^2 + 832^2 .

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69618 + ... + 69646.

22019328 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 2019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211570).

2019328 is an abundant number, since it is smaller than the sum of its proper divisors (2403812).

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

2019328 is an equidigital number, since it uses as much as digits as its factorization.

2019328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2019328 is about 1421.0306119152. The cubic root of 2019328 is about 126.3966671129.

The spelling of 2019328 in words is "two million, nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 256 272 464 493 512 544 928 986 1024 1088 1856 1972 2048 2176 3712 3944 4096 4352 7424 7888 8704 14848 15776 17408 29696 31552 34816 59392 63104 69632 118784 126208 252416 504832 1009664 2019328