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5130455040 = 211325179311
BaseRepresentation
bin1001100011100110…
…01000100000000000
3111020112212010020100
410301303020200000
541001344030130
62205031242400
7241065101604
oct46163104000
914215763210
105130455040
1121a300a897
12bb2219400
13639ba6519
1436953d504
15200624c60
hex131cc8800

5130455040 has 288 divisors, whose sum is σ = 17938065600. Its totient is φ = 1356103680.

The previous prime is 5130454981. The next prime is 5130455123. The reversal of 5130455040 is 405540315.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×51304550402 = 52643137834922803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5130454995 and 5130455013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16496485 + ... + 16496795.

It is an arithmetic number, because the mean of its divisors is an integer number (62284950).

Almost surely, 25130455040 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 5130455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8969032800).

5130455040 is an abundant number, since it is smaller than the sum of its proper divisors (12807610560).

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

5130455040 is a wasteful number, since it uses less digits than its factorization.

5130455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5130455040 is about 71627.1948354813. The cubic root of 5130455040 is about 1724.7201159014.

Adding to 5130455040 its reverse (405540315), we get a palindrome (5535995355).

The spelling of 5130455040 in words is "five billion, one hundred thirty million, four hundred fifty-five thousand, forty".