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142564068 = 223219257811
BaseRepresentation
bin10000111111101…
…01101011100100
3100221021000010200
420133311223210
5242444022233
622051350500
73350526453
oct1037655344
9327230120
10142564068
1173523549
123b8b2430
13236c744a
1414d10b9a
15c7b1313
hex87f5ae4

142564068 has 72 divisors (see below), whose sum is σ = 381282720. Its totient is φ = 44789760.

The previous prime is 142564067. The next prime is 142564073. The reversal of 142564068 is 860465241.

142564068 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 640 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142564067) 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, 175383 + ... + 176193.

Almost surely, 2142564068 is an apocalyptic number.

142564068 is a gapful number since it is divisible by the number (18) 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 142564068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190641360).

142564068 is an abundant number, since it is smaller than the sum of its proper divisors (238718652).

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

142564068 is a wasteful number, since it uses less digits than its factorization.

142564068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 142564068 is about 11940.0195979739. The cubic root of 142564068 is about 522.4002303343.

The spelling of 142564068 in words is "one hundred forty-two million, five hundred sixty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 257 342 514 684 771 811 1028 1542 1622 2313 2433 3084 3244 4626 4866 4883 7299 9252 9732 9766 14598 14649 15409 19532 29196 29298 30818 43947 46227 58596 61636 87894 92454 138681 175788 184908 208427 277362 416854 554724 625281 833708 1250562 1875843 2501124 3751686 3960113 7503372 7920226 11880339 15840452 23760678 35641017 47521356 71282034 142564068