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6381040 = 24531283
BaseRepresentation
bin11000010101110111110000
3110000012010211
4120111313300
53113143130
6344433504
7105144421
oct30256760
913005124
106381040
113669196
122178894
131425583
14bc1648
15860a2a
hex615df0

6381040 has 60 divisors (see below), whose sum is σ = 15514632. Its totient is φ = 2440320.

The previous prime is 6381031. The next prime is 6381047. The reversal of 6381040 is 401836.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6381047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76839 + ... + 76921.

Almost surely, 26381040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6381040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757316).

6381040 is an abundant number, since it is smaller than the sum of its proper divisors (9133592).

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

6381040 is a wasteful number, since it uses less digits than its factorization.

6381040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 6381040 is about 2526.0720496455. The cubic root of 6381040 is about 185.4800292360.

Adding to 6381040 its reverse (401836), we get a palindrome (6782876).

The spelling of 6381040 in words is "six million, three hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 83 124 155 166 248 310 332 415 496 620 664 830 961 1240 1328 1660 1922 2480 2573 3320 3844 4805 5146 6640 7688 9610 10292 12865 15376 19220 20584 25730 38440 41168 51460 76880 79763 102920 159526 205840 319052 398815 638104 797630 1276208 1595260 3190520 6381040