Search a number
-
+
4006406040 = 23357131812027
BaseRepresentation
bin1110111011001100…
…1110011110011000
3101100012202111212220
43232303032132120
531201114443130
61501315104040
7201165614040
oct35663163630
911305674786
104006406040
11177656a17a
129398a2020
134bb055480
142a0140720
15186add410
hexeecce798

4006406040 has 256 divisors, whose sum is σ = 14881950720. Its totient is φ = 840222720.

The previous prime is 4006406017. The next prime is 4006406081. The reversal of 4006406040 is 406046004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4006406040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1975507 + ... + 1977533.

It is an arithmetic number, because the mean of its divisors is an integer number (58132620).

Almost surely, 24006406040 is an apocalyptic number.

4006406040 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 4006406040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440975360).

4006406040 is an abundant number, since it is smaller than the sum of its proper divisors (10875544680).

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

4006406040 is a wasteful number, since it uses less digits than its factorization.

4006406040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4006406040 is about 63296.1771357481. The cubic root of 4006406040 is about 1588.2480128764.

The spelling of 4006406040 in words is "four billion, six million, four hundred six thousand, forty".