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4123040 = 25573353
BaseRepresentation
bin1111101110100110100000
321202110202012
433232212200
52023414130
6224212052
750021345
oct17564640
97673665
104123040
112366779
12146a028
13b1488c
147947cc
15566995
hex3ee9a0

4123040 has 48 divisors (see below), whose sum is σ = 9902088. Its totient is φ = 1622016.

The previous prime is 4123039. The next prime is 4123043. The reversal of 4123040 is 403214.

4123040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3254416 + 868624 = 1804^2 + 932^2 .

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (4123043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11504 + ... + 11856.

Almost surely, 24123040 is an apocalyptic number.

4123040 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 4123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951044).

4123040 is an abundant number, since it is smaller than the sum of its proper divisors (5779048).

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

4123040 is a wasteful number, since it uses less digits than its factorization.

4123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4123040 is about 2030.5270251834. The cubic root of 4123040 is about 160.3513113957.

Adding to 4123040 its reverse (403214), we get a palindrome (4526254).

The spelling of 4123040 in words is "four million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 353 365 584 706 730 1168 1412 1460 1765 2336 2824 2920 3530 5648 5840 7060 11296 11680 14120 25769 28240 51538 56480 103076 128845 206152 257690 412304 515380 824608 1030760 2061520 4123040