Search a number
-
+
142535016 = 233213197773
BaseRepresentation
bin10000111111011…
…10100101101000
3100221012112021200
420133232211220
5242442110031
622051004200
73350345661
oct1037564550
9327175250
10142535016
1173503738
123b899660
13236b7160
1414d04368
15c7a78e6
hex87ee968

142535016 has 96 divisors (see below), whose sum is σ = 418377960. Its totient is φ = 43577856.

The previous prime is 142535011. The next prime is 142535047. The reversal of 142535016 is 610535241.

142535016 is digitally balanced in base 3, because in such base 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 105884100 + 36650916 = 10290^2 + 6054^2 .

It is a super-2 number, since 2×1425350162 = 40632461572240512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142535011) 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, 184006 + ... + 184778.

Almost surely, 2142535016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142535016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209188980).

142535016 is an abundant number, since it is smaller than the sum of its proper divisors (275842944).

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

142535016 is a wasteful number, since it uses less digits than its factorization.

142535016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 142535016 is about 11938.8029550705. The cubic root of 142535016 is about 522.3647426579.

The spelling of 142535016 in words is "one hundred forty-two million, five hundred thirty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 197 234 312 394 468 591 773 788 936 1182 1546 1576 1773 2319 2364 2561 3092 3546 4638 4728 5122 6184 6957 7092 7683 9276 10049 10244 13914 14184 15366 18552 20098 20488 23049 27828 30147 30732 40196 46098 55656 60294 61464 80392 90441 92196 120588 152281 180882 184392 241176 304562 361764 456843 609124 723528 913686 1218248 1370529 1827372 1979653 2741058 3654744 3959306 5482116 5938959 7918612 10964232 11877918 15837224 17816877 23755836 35633754 47511672 71267508 142535016