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359142 = 23717503
BaseRepresentation
bin1010111101011100110
3200020122120
41113223212
542443032
611410410
73024030
oct1275346
9606576
10359142
11225913
12153a06
13c7614
1494c50
157162c
hex57ae6

359142 has 32 divisors (see below), whose sum is σ = 870912. Its totient is φ = 96384.

The previous prime is 359137. The next prime is 359143. The reversal of 359142 is 241953.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 359142.

It is not an unprimeable number, because it can be changed into a prime (359143) by changing a digit.

359142 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2359142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

359142 is an abundant number, since it is smaller than the sum of its proper divisors (511770).

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

359142 is a wasteful number, since it uses less digits than its factorization.

359142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532.

The product of its digits is 1080, while the sum is 24.

The square root of 359142 is about 599.2845734707. The cubic root of 359142 is about 71.0813060497.

The spelling of 359142 in words is "three hundred fifty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 503 714 1006 1509 3018 3521 7042 8551 10563 17102 21126 25653 51306 59857 119714 179571 359142