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142590 = 2357297
BaseRepresentation
bin100010110011111110
321020121010
4202303332
514030330
63020050
71132500
oct426376
9236533
10142590
1198148
126a626
134cb96
1439d70
152c3b0
hex22cfe

142590 has 48 divisors (see below), whose sum is σ = 402192. Its totient is φ = 32256.

The previous prime is 142589. The next prime is 142591. The reversal of 142590 is 95241.

It is an interprime number because it is at equal distance from previous prime (142589) and next prime (142591).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 142590.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1422 + ... + 1518.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2142590 is an apocalyptic number.

142590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096).

142590 is an abundant number, since it is smaller than the sum of its proper divisors (259602).

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

142590 is a wasteful number, since it uses less digits than its factorization.

142590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 142590 is about 377.6109108593. The cubic root of 142590 is about 52.2431902788.

The spelling of 142590 in words is "one hundred forty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 97 98 105 147 194 210 245 291 294 485 490 582 679 735 970 1358 1455 1470 2037 2910 3395 4074 4753 6790 9506 10185 14259 20370 23765 28518 47530 71295 142590