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142112268 = 223283199239
BaseRepresentation
bin10000111100001…
…11011000001100
3100220102001101100
420132013120030
5242340043033
622033543100
73343635324
oct1036073014
9326361340
10142112268
1173245061
123b714a90
13235998cc
1414c34284
15c722513
hex878760c

142112268 has 72 divisors (see below), whose sum is σ = 366912000. Its totient is φ = 46370016.

The previous prime is 142112261. The next prime is 142112279. The reversal of 142112268 is 862211241.

It is a super-2 number, since 2×1421122682 = 40391793432207648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142112261) 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, 594493 + ... + 594731.

It is an arithmetic number, because the mean of its divisors is an integer number (5096000).

Almost surely, 2142112268 is an apocalyptic number.

142112268 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 142112268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456000).

142112268 is an abundant number, since it is smaller than the sum of its proper divisors (224799732).

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

142112268 is a wasteful number, since it uses less digits than its factorization.

142112268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 526 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 142112268 is about 11921.0850177322. The cubic root of 142112268 is about 521.8477999043.

It can be divided in two parts, 1421 and 12268, that added together give a square (13689 = 1172).

The spelling of 142112268 in words is "one hundred forty-two million, one hundred twelve thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 199 239 249 332 398 478 498 597 717 747 796 956 996 1194 1434 1494 1791 2151 2388 2868 2988 3582 4302 7164 8604 16517 19837 33034 39674 47561 49551 59511 66068 79348 95122 99102 119022 142683 148653 178533 190244 198204 238044 285366 297306 357066 428049 570732 594612 714132 856098 1712196 3947563 7895126 11842689 15790252 23685378 35528067 47370756 71056134 142112268