Search a number
-
+
5893106040 = 2332553734231
BaseRepresentation
bin1010111110100000…
…11010100101111000
3120012200220210201200
411133100122211320
544032113343130
62412433414200
7266015401113
oct53720324570
916180823650
105893106040
112554560878
12118570a360
1372bbb03c3
143dc94557a
15247570760
hex15f41a978

5893106040 has 192 divisors, whose sum is σ = 19785954240. Its totient is φ = 1520363520.

The previous prime is 5893106039. The next prime is 5893106047. The reversal of 5893106040 is 406013985.

5893106040 is a `hidden beast` number, since 589 + 3 + 10 + 60 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5893105986 and 5893106004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5893106047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1390725 + ... + 1394955.

It is an arithmetic number, because the mean of its divisors is an integer number (103051845).

Almost surely, 25893106040 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 5893106040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9892977120).

5893106040 is an abundant number, since it is smaller than the sum of its proper divisors (13892848200).

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

5893106040 is a wasteful number, since it uses less digits than its factorization.

5893106040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5893106040 is about 76766.5685047860. The cubic root of 5893106040 is about 1806.2648000448.

The spelling of 5893106040 in words is "five billion, eight hundred ninety-three million, one hundred six thousand, forty".