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20003859540 = 223257172932203
BaseRepresentation
bin10010101000010100…
…101010110001010100
31220122002210100112200
4102220110222301110
5311431442001130
613104544044500
71305500000130
oct225024526124
956562710480
1020003859540
118535725825
123a63303730
131b6a4295a2
14d7aa0c3c0
157c127e760
hex4a852ac54

20003859540 has 288 divisors, whose sum is σ = 75960218880. Its totient is φ = 4154830848.

The previous prime is 20003859527. The next prime is 20003859611. The reversal of 20003859540 is 4595830002.

20003859540 is a `hidden beast` number, since 20 + 0 + 0 + 3 + 8 + 595 + 40 = 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 = 20003859495 and 20003859504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 605079 + ... + 637281.

It is an arithmetic number, because the mean of its divisors is an integer number (263750760).

Almost surely, 220003859540 is an apocalyptic number.

20003859540 is a gapful number since it is divisible by the number (20) 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 20003859540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37980109440).

20003859540 is an abundant number, since it is smaller than the sum of its proper divisors (55956359340).

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

20003859540 is a wasteful number, since it uses less digits than its factorization.

20003859540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32271 (or 32266 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 20003859540 in words is "twenty billion, three million, eight hundred fifty-nine thousand, five hundred forty".