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5341680900 = 22325219241401
BaseRepresentation
bin1001111100110001…
…11001010100000100
3111210021022111122100
410332120321110010
541414432242100
62242014432100
7246241352463
oct47630712404
914707274570
105341680900
1122a126aa16
121050b02630
1367189133a
143896049da
15213e4a400
hex13e639504

5341680900 has 324 divisors, whose sum is σ = 18146940084. Its totient is φ = 1313280000.

The previous prime is 5341680899. The next prime is 5341680907. The reversal of 5341680900 is 90861435.

It can be written as a sum of positive squares in 6 ways, for example, as 35141184 + 5306539716 = 5928^2 + 72846^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5341680907) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13320700 + ... + 13321100.

Almost surely, 25341680900 is an apocalyptic number.

5341680900 is a gapful number since it is divisible by the number (50) 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 5341680900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9073470042).

5341680900 is an abundant number, since it is smaller than the sum of its proper divisors (12805259184).

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

5341680900 is a wasteful number, since it uses less digits than its factorization.

5341680900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 471 counting only the distinct ones).

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

The square root of 5341680900 is about 73086.8038704662. The cubic root of 5341680900 is about 1748.0719882136.

The spelling of 5341680900 in words is "five billion, three hundred forty-one million, six hundred eighty thousand, nine hundred".