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5880737280 = 293511151461
BaseRepresentation
bin1010111101000010…
…01110111000000000
3120011211122101222110
411132201032320000
544020432043110
62411312335320
7265505304435
oct53641167000
916154571873
105880737280
112548582a60
121181544540
1372946c602
143db045b8c
1524642aa20
hex15e84ee00

5880737280 has 320 divisors, whose sum is σ = 20689675776. Its totient is φ = 1413120000.

The previous prime is 5880737251. The next prime is 5880737281. The reversal of 5880737280 is 827370885.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5880737281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12756250 + ... + 12756710.

Almost surely, 25880737280 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 5880737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10344837888).

5880737280 is an abundant number, since it is smaller than the sum of its proper divisors (14808938496).

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

5880737280 is a wasteful number, since it uses less digits than its factorization.

5880737280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 5880737280 is about 76685.9653391675. The cubic root of 5880737280 is about 1805.0002204812. Note that the first 3 decimals are identical.

The spelling of 5880737280 in words is "five billion, eight hundred eighty million, seven hundred thirty-seven thousand, two hundred eighty".