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142206660 = 22325829953
BaseRepresentation
bin10000111100111…
…10011011000100
3100220120211212100
420132132123010
5242401103120
622035552100
73344510451
oct1036363304
9326524770
10142206660
11732a9a72
123b75b630
132360086b
1414c5a828
15c740490
hex879e6c4

142206660 has 72 divisors (see below), whose sum is σ = 432333720. Its totient is φ = 37836288.

The previous prime is 142206619. The next prime is 142206661. The reversal of 142206660 is 66602241.

It is a happy number.

142206660 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13883076 + 128323584 = 3726^2 + 11328^2 .

It is not an unprimeable number, because it can be changed into a prime (142206661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148744 + ... + 149696.

It is an arithmetic number, because the mean of its divisors is an integer number (6004635).

Almost surely, 2142206660 is an apocalyptic number.

142206660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142206660 is an abundant number, since it is smaller than the sum of its proper divisors (290127060).

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

142206660 is a wasteful number, since it uses less digits than its factorization.

142206660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 142206660 is about 11925.0433961475. The cubic root of 142206660 is about 521.9633126988.

The spelling of 142206660 in words is "one hundred forty-two million, two hundred six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 829 953 1658 1906 2487 2859 3316 3812 4145 4765 4974 5718 7461 8290 8577 9530 9948 11436 12435 14295 14922 16580 17154 19060 24870 28590 29844 34308 37305 42885 49740 57180 74610 85770 149220 171540 790037 1580074 2370111 3160148 3950185 4740222 7110333 7900370 9480444 11850555 14220666 15800740 23701110 28441332 35551665 47402220 71103330 142206660