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142596 = 223217233
BaseRepresentation
bin100010110100000100
321020121100
4202310010
514030341
63020100
71132506
oct426404
9236540
10142596
1198153
126a630
134cb9c
1439d76
152c3b6
hex22d04

142596 has 36 divisors (see below), whose sum is σ = 383292. Its totient is φ = 44544.

The previous prime is 142591. The next prime is 142601. The reversal of 142596 is 695241.

It is an interprime number because it is at equal distance from previous prime (142591) and next prime (142601).

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 72900 = 264^2 + 270^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (142591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2142596 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 142596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191646).

142596 is an abundant number, since it is smaller than the sum of its proper divisors (240696).

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

142596 is a wasteful number, since it uses less digits than its factorization.

142596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 255 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 142596 is about 377.6188554614. The cubic root of 142596 is about 52.2439230435.

It can be divided in two parts, 1425 and 96, that added together give a square (1521 = 392).

The spelling of 142596 in words is "one hundred forty-two thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 233 306 466 612 699 932 1398 2097 2796 3961 4194 7922 8388 11883 15844 23766 35649 47532 71298 142596