Search a number
-
+
3940886040 = 23357131672161
BaseRepresentation
bin1110101011100101…
…0010011000011000
3101011122110202100020
43222321102120120
531032331323130
61451014510440
7166441656450
oct35271223030
911148422306
103940886040
111742589013
1291b965420
134aa5c4b40
14295566d60
15180e99e10
hexeae52618

3940886040 has 256 divisors, whose sum is σ = 14644869120. Its totient is φ = 826122240.

The previous prime is 3940885979. The next prime is 3940886051. The reversal of 3940886040 is 406880493.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3940885983 and 3940886001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1822560 + ... + 1824720.

It is an arithmetic number, because the mean of its divisors is an integer number (57206520).

Almost surely, 23940886040 is an apocalyptic number.

3940886040 is a gapful number since it is divisible by the number (30) 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 3940886040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7322434560).

3940886040 is an abundant number, since it is smaller than the sum of its proper divisors (10703983080).

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

3940886040 is a wasteful number, since it uses less digits than its factorization.

3940886040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 3940886040 is about 62776.4768046121. The cubic root of 3940886040 is about 1579.5424140912.

The spelling of 3940886040 in words is "three billion, nine hundred forty million, eight hundred eighty-six thousand, forty".