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142205364 = 22327564307
BaseRepresentation
bin10000111100111…
…10000110110100
3100220120210002100
420132132012310
5242401032424
622035542100
73344503620
oct1036360664
9326523070
10142205364
11732a8aa4
123b75a930
13236000b2
1414c5a180
15c73edc9
hex879e1b4

142205364 has 36 divisors (see below), whose sum is σ = 410816224. Its totient is φ = 40630032.

The previous prime is 142205363. The next prime is 142205377. The reversal of 142205364 is 463502241.

142205364 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142205363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281902 + ... + 282405.

Almost surely, 2142205364 is an apocalyptic number.

142205364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142205364 is an abundant number, since it is smaller than the sum of its proper divisors (268610860).

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

142205364 is a wasteful number, since it uses less digits than its factorization.

142205364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564324 (or 564319 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 142205364 is about 11924.9890565988. The cubic root of 142205364 is about 521.9617270569.

The spelling of 142205364 in words is "one hundred forty-two million, two hundred five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 564307 1128614 1692921 2257228 3385842 3950149 5078763 6771684 7900298 10157526 11850447 15800596 20315052 23700894 35551341 47401788 71102682 142205364