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5300106240 = 21035111319127
BaseRepresentation
bin1001110111110100…
…10011010000000000
3111200101002021221010
410323322103100000
541323311344430
62233531400520
7245225105532
oct47372232000
914611067833
105300106240
11227a8542a0
12103abb3140
13666095b50
14383ca1852
15210486cb0
hex13be93400

5300106240 has 704 divisors, whose sum is σ = 21128970240. Its totient is φ = 1114767360.

The previous prime is 5300106187. The next prime is 5300106241. The reversal of 5300106240 is 426010035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×53001062402 = 56182252310573875200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5300106241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41733057 + ... + 41733183.

Almost surely, 25300106240 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 5300106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10564485120).

5300106240 is an abundant number, since it is smaller than the sum of its proper divisors (15828864000).

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

5300106240 is a wasteful number, since it uses less digits than its factorization.

5300106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5300106240 is about 72801.8285484644. The cubic root of 5300106240 is about 1743.5250509271.

Adding to 5300106240 its reverse (426010035), we get a palindrome (5726116275).

The spelling of 5300106240 in words is "five billion, three hundred million, one hundred six thousand, two hundred forty".