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4019040 = 253252791
BaseRepresentation
bin1111010101001101100000
321120012002100
433111031200
52012102130
6222050400
746106214
oct17251540
97505070
104019040
1122a5623
121419a00
13aa943c
14768944
15545c60
hex3d5360

4019040 has 72 divisors (see below), whose sum is σ = 13719888. Its totient is φ = 1071360.

The previous prime is 4019009. The next prime is 4019047. The reversal of 4019040 is 409104.

4019040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4019047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45 + ... + 2835.

It is an arithmetic number, because the mean of its divisors is an integer number (190554).

Almost surely, 24019040 is an apocalyptic number.

4019040 is a gapful number since it is divisible by the number (40) 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 4019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6859944).

4019040 is an abundant number, since it is smaller than the sum of its proper divisors (9700848).

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

4019040 is a wasteful number, since it uses less digits than its factorization.

4019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4019040 is about 2004.7543490413. The cubic root of 4019040 is about 158.9915742539.

The spelling of 4019040 in words is "four million, nineteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2791 5582 8373 11164 13955 16746 22328 25119 27910 33492 41865 44656 50238 55820 66984 83730 89312 100476 111640 125595 133968 167460 200952 223280 251190 267936 334920 401904 446560 502380 669840 803808 1004760 1339680 2009520 4019040