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660142080 = 211325131929
BaseRepresentation
bin100111010110001…
…111100000000000
31201000011200200200
4213112033200000
52322444021310
6145301045200
722234054323
oct4726174000
91630150620
10660142080
113096a6574
121650b6800
13a69c5420
14639607ba
153ce4c9c0
hex2758f800

660142080 has 576 divisors, whose sum is σ = 2683044000. Its totient is φ = 148635648.

The previous prime is 660142073. The next prime is 660142081. The reversal of 660142080 is 80241066.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (660142081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22763506 + ... + 22763534.

Almost surely, 2660142080 is an apocalyptic number.

660142080 is a gapful number since it is divisible by the number (60) 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 660142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341522000).

660142080 is an abundant number, since it is smaller than the sum of its proper divisors (2022901920).

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

660142080 is a wasteful number, since it uses less digits than its factorization.

660142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 660142080 is about 25693.2302367764. The cubic root of 660142080 is about 870.7212409973.

The spelling of 660142080 in words is "six hundred sixty million, one hundred forty-two thousand, eighty".