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5940524040 = 23351121961353
BaseRepresentation
bin1011000100001010…
…10011010000001000
3120100000010212222220
411202011103100020
544131233232130
62421250014040
7300132423033
oct54205232010
916300125886
105940524040
1125792a8700
121199577320
137389734a9
14404d6a01a
1524b7da410
hex162153408

5940524040 has 384 divisors, whose sum is σ = 21017404800. Its totient is φ = 1338163200.

The previous prime is 5940523951. The next prime is 5940524041. The reversal of 5940524040 is 404250495.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5940523992 and 5940524010.

It is not an unprimeable number, because it can be changed into a prime (5940524041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16828504 + ... + 16828856.

It is an arithmetic number, because the mean of its divisors is an integer number (54732825).

Almost surely, 25940524040 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 5940524040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10508702400).

5940524040 is an abundant number, since it is smaller than the sum of its proper divisors (15076880760).

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

5940524040 is a wasteful number, since it uses less digits than its factorization.

5940524040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 5940524040 is about 77074.7951019009. The cubic root of 5940524040 is about 1811.0964775590.

The spelling of 5940524040 in words is "five billion, nine hundred forty million, five hundred twenty-four thousand, forty".