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1331502480 = 2432572114773
BaseRepresentation
bin100111101011101…
…0001110110010000
310102210110100000200
41033113101312100
510211331034410
6340042415200
744665404300
oct11727216620
93383410020
101331502480
11623664580
12311b01500
13182b17ab9
14c8ba1600
157bd643c0
hex4f5d1d90

1331502480 has 720 divisors, whose sum is σ = 5874695424. Its totient is φ = 267079680.

The previous prime is 1331502479. The next prime is 1331502521. The reversal of 1331502480 is 842051331.

It is a happy number.

1331502480 is a `hidden beast` number, since 1 + 33 + 150 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18239724 + ... + 18239796.

Almost surely, 21331502480 is an apocalyptic number.

1331502480 is a gapful number since it is divisible by the number (10) 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 1331502480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937347712).

1331502480 is an abundant number, since it is smaller than the sum of its proper divisors (4543192944).

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

1331502480 is a wasteful number, since it uses less digits than its factorization.

1331502480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1331502480 is about 36489.7585631914. The cubic root of 1331502480 is about 1100.1384068267.

The spelling of 1331502480 in words is "one billion, three hundred thirty-one million, five hundred two thousand, four hundred eighty".