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531139680 = 2535519719
BaseRepresentation
bin11111101010001…
…000110001100000
31101000102200200000
4133222020301200
52041432432210
6124412100000
716106420121
oct3752106140
91330380600
10531139680
112528a6115
12129a64600
1386068a46
1450780048
1531969ac0
hex1fa88c60

531139680 has 288 divisors, whose sum is σ = 1981324800. Its totient is φ = 133996032.

The previous prime is 531139639. The next prime is 531139729. The reversal of 531139680 is 86931135.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738361 + ... + 739079.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2531139680 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 531139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990662400).

531139680 is an abundant number, since it is smaller than the sum of its proper divisors (1450185120).

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

531139680 is a wasteful number, since it uses less digits than its factorization.

531139680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 531139680 is about 23046.4678421662. The cubic root of 531139680 is about 809.8468846385.

The spelling of 531139680 in words is "five hundred thirty-one million, one hundred thirty-nine thousand, six hundred eighty".