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142166052 = 22327283971
BaseRepresentation
bin10000111100101…
…00100000100100
3100220111210011100
420132110200210
5242343303202
622035040100
73344251200
oct1036244044
9326453140
10142166052
1173281506
123b740030
13235b8232
1414c49b00
15c73341c
hex8794824

142166052 has 108 divisors (see below), whose sum is σ = 423508176. Its totient is φ = 40088160.

The previous prime is 142166029. The next prime is 142166071. The reversal of 142166052 is 250661241.

142166052 is a `hidden beast` number, since 1 + 42 + 16 + 605 + 2 = 666.

It is a super-2 number, since 2×1421660522 = 40422372682533408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145927 + ... + 146897.

It is an arithmetic number, because the mean of its divisors is an integer number (3921372).

Almost surely, 2142166052 is an apocalyptic number.

142166052 is a gapful number since it is divisible by the number (12) 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 142166052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211754088).

142166052 is an abundant number, since it is smaller than the sum of its proper divisors (281342124).

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

142166052 is a wasteful number, since it uses less digits than its factorization.

142166052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 142166052 is about 11923.3406392672. The cubic root of 142166052 is about 521.9136246742.

The spelling of 142166052 in words is "one hundred forty-two million, one hundred sixty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 83 84 98 126 147 166 196 249 252 294 332 441 498 581 588 747 882 971 996 1162 1494 1743 1764 1942 2324 2913 2988 3486 3884 4067 5229 5826 6797 6972 8134 8739 10458 11652 12201 13594 16268 17478 20391 20916 24402 27188 34956 36603 40782 47579 48804 61173 73206 80593 81564 95158 122346 142737 146412 161186 190316 241779 244692 285474 322372 428211 483558 564151 570948 725337 856422 967116 1128302 1450674 1692453 1712844 2256604 2901348 3384906 3949057 5077359 6769812 7898114 10154718 11847171 15796228 20309436 23694342 35541513 47388684 71083026 142166052