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142461368 = 23731137599
BaseRepresentation
bin10000111110111…
…00100110111000
3100221001210020222
420133130212320
5242432230433
622045235212
73346621160
oct1037344670
9327053228
10142461368
1173463375
123b862b08
132368c78a
1414cc55a0
15c790b98
hex87dc9b8

142461368 has 64 divisors (see below), whose sum is σ = 317952000. Its totient is φ = 58556160.

The previous prime is 142461367. The next prime is 142461383. The reversal of 142461368 is 863164241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142461367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237533 + ... + 238131.

It is an arithmetic number, because the mean of its divisors is an integer number (4968000).

Almost surely, 2142461368 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 142461368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158976000).

142461368 is an abundant number, since it is smaller than the sum of its proper divisors (175490632).

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

142461368 is a wasteful number, since it uses less digits than its factorization.

142461368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 776 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 142461368 is about 11935.7181602114. The cubic root of 142461368 is about 522.2747583449.

The spelling of 142461368 in words is "one hundred forty-two million, four hundred sixty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 137 217 248 274 434 548 599 868 959 1096 1198 1736 1918 2396 3836 4193 4247 4792 7672 8386 8494 16772 16988 18569 29729 33544 33976 37138 59458 74276 82063 118916 129983 148552 164126 237832 259966 328252 519932 574441 656504 1039864 1148882 2297764 2543953 4595528 5087906 10175812 17807671 20351624 35615342 71230684 142461368