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1332712080 = 243257269983
BaseRepresentation
bin100111101101111…
…1001001010010000
310102212201210021200
41033123321022100
510212133241310
6340124351200
745011602650
oct11733711220
93385653250
101332712080
11624310347
123123a5500
1318314c53b
14c8dd8360
157c0029c0
hex4f6f9290

1332712080 has 240 divisors, whose sum is σ = 5139313920. Its totient is φ = 303178752.

The previous prime is 1332712049. The next prime is 1332712097. The reversal of 1332712080 is 802172331.

1332712080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×13327120802 = 3552242976355852800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1355269 + ... + 1356251.

It is an arithmetic number, because the mean of its divisors is an integer number (21413808).

Almost surely, 21332712080 is an apocalyptic number.

1332712080 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 1332712080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569656960).

1332712080 is an abundant number, since it is smaller than the sum of its proper divisors (3806601840).

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

1332712080 is a wasteful number, since it uses less digits than its factorization.

1332712080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1332712080 is about 36506.3293142436. The cubic root of 1332712080 is about 1100.4714452989.

The spelling of 1332712080 in words is "one billion, three hundred thirty-two million, seven hundred twelve thousand, eighty".