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6040004040 = 2332573177317
BaseRepresentation
bin1011010000000001…
…10010010111001000
3120120221022222220100
411220000302113020
544332220112130
62435202125400
7302451121140
oct55000622710
916527288810
106040004040
11261a474484
121206950860
137534643b5
14414263920
152553dac60
hex1680325c8

6040004040 has 192 divisors, whose sum is σ = 23158287360. Its totient is φ = 1336020480.

The previous prime is 6040004027. The next prime is 6040004041. The reversal of 6040004040 is 404000406.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (6040004041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39462 + ... + 116778.

It is an arithmetic number, because the mean of its divisors is an integer number (120616080).

Almost surely, 26040004040 is an apocalyptic number.

6040004040 is a gapful number since it is divisible by the number (60) 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 6040004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11579143680).

6040004040 is an abundant number, since it is smaller than the sum of its proper divisors (17118283320).

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

6040004040 is a wasteful number, since it uses less digits than its factorization.

6040004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77372 (or 77365 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6040004040 is about 77717.4629024906. The cubic root of 6040004040 is about 1821.1501042868.

Adding to 6040004040 its reverse (404000406), we get a palindrome (6444004446).

The spelling of 6040004040 in words is "six billion, forty million, four thousand, forty", and thus it is an eban number.