Search a number
-
+
4040120 = 235747307
BaseRepresentation
bin1111011010010110111000
321121021000002
433122112320
52013240440
6222332132
746224530
oct17322670
97537002
104040120
11230a447
12142a048
13ab5c06
147724c0
1554c115
hex3da5b8

4040120 has 64 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 1351296.

The previous prime is 4040119. The next prime is 4040123. The reversal of 4040120 is 210404.

It is a super-2 number, since 2×40401202 = 32645139228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040123) 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, 13007 + ... + 13313.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 24040120 is an apocalyptic number.

4040120 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 4040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

4040120 is an abundant number, since it is smaller than the sum of its proper divisors (6604360).

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

4040120 is a wasteful number, since it uses less digits than its factorization.

4040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4040120 is about 2010.0049751182. The cubic root of 4040120 is about 159.2690617260.

Adding to 4040120 its reverse (210404), we get a palindrome (4250524).

The spelling of 4040120 in words is "four million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 307 329 376 470 614 658 940 1228 1316 1535 1645 1880 2149 2456 2632 3070 3290 4298 6140 6580 8596 10745 12280 13160 14429 17192 21490 28858 42980 57716 72145 85960 101003 115432 144290 202006 288580 404012 505015 577160 808024 1010030 2020060 4040120