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7378020540 = 22335113493559
BaseRepresentation
bin1101101111100001…
…11010100010111100
3201001012001021111000
412313300322202330
5110102233124130
63220040330300
7350556065652
oct66760724274
921035037430
107378020540
113146778040
12151aa73990
13907720137
144ddc3cdd2
152d2ada260
hex1b7c3a8bc

7378020540 has 192 divisors, whose sum is σ = 25119360000. Its totient is φ = 1782984960.

The previous prime is 7378020497. The next prime is 7378020547. The reversal of 7378020540 is 450208737.

7378020540 is a `hidden beast` number, since 7 + 37 + 80 + 2 + 0 + 540 = 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 = 7378020495 and 7378020504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7378020547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2071281 + ... + 2074839.

It is an arithmetic number, because the mean of its divisors is an integer number (130830000).

Almost surely, 27378020540 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 7378020540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12559680000).

7378020540 is an abundant number, since it is smaller than the sum of its proper divisors (17741339460).

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

7378020540 is a wasteful number, since it uses less digits than its factorization.

7378020540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7378020540 is about 85895.4046500743. The cubic root of 7378020540 is about 1946.7639106803.

The spelling of 7378020540 in words is "seven billion, three hundred seventy-eight million, twenty thousand, five hundred forty".