Search a number
142613280 = 25325971021
BaseRepresentation
bin10001000000000…
…01101100100000
3100221100111122100
420200001230200
5243002111110
622052410400
73351123105
oct1040015440
9327314570
10142613280
1173557517
123b916a00
1323713974
1414d24aac
15c7c0bc0
hex8801b20

142613280 has 144 divisors (see below), whose sum is σ = 492166584. Its totient is φ = 37601280.

The previous prime is 142613269. The next prime is 142613287. The reversal of 142613280 is 82316241.

142613280 is a `hidden beast` number, since 1 + 42 + 613 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115863696 + 26749584 = 10764^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (142613287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139170 + ... + 140190.

Almost surely, 2142613280 is an apocalyptic number.

142613280 is a gapful number since it is divisible by the number (10) 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 142613280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246083292).

142613280 is an abundant number, since it is smaller than the sum of its proper divisors (349553304).

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

142613280 is a wasteful number, since it uses less digits than its factorization.

142613280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 142613280 is about 11942.0802207991. The cubic root of 142613280 is about 522.4603329089.

It can be divided in two parts, 1426 and 13280, that added together give a triangular number (14706 = T171).

The spelling of 142613280 in words is "one hundred forty-two million, six hundred thirteen thousand, two hundred eighty".