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1332136080 = 24325112371103
BaseRepresentation
bin100111101100110…
…1100100010010000
310102211122112011100
41033121230202100
510212011323310
6340104144400
745003653442
oct11731544220
93384575140
101332136080
11623a57610
12312168100
13182caa302
14c8cc8492
157be3bec0
hex4f66c890

1332136080 has 480 divisors, whose sum is σ = 5214523392. Its totient is φ = 301593600.

The previous prime is 1332136073. The next prime is 1332136081. The reversal of 1332136080 is 806312331.

It is a happy number.

1332136080 is a `hidden beast` number, since 1 + 33 + 21 + 3 + 608 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1332136081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12933309 + ... + 12933411.

Almost surely, 21332136080 is an apocalyptic number.

1332136080 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 1332136080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607261696).

1332136080 is an abundant number, since it is smaller than the sum of its proper divisors (3882387312).

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

1332136080 is a wasteful number, since it uses less digits than its factorization.

1332136080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1332136080 is about 36498.4394186930. The cubic root of 1332136080 is about 1100.3128806937.

The spelling of 1332136080 in words is "one billion, three hundred thirty-two million, one hundred thirty-six thousand, eighty".