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87593142 = 237131371171
BaseRepresentation
bin1010011100010…
…01000010110110
320002211012012110
411032021002312
5134410440032
612405231450
72112346410
oct516110266
9202735173
1087593142
114549802a
1225402586
13151bb580
14b8c19b0
157a537cc
hex53890b6

87593142 has 64 divisors (see below), whose sum is σ = 217373184. Its totient is φ = 22913280.

The previous prime is 87593141. The next prime is 87593147. The reversal of 87593142 is 24139578.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 87593142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87593141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74217 + ... + 75387.

It is an arithmetic number, because the mean of its divisors is an integer number (3396456).

Almost surely, 287593142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87593142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108686592).

87593142 is an abundant number, since it is smaller than the sum of its proper divisors (129780042).

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

87593142 is a wasteful number, since it uses less digits than its factorization.

87593142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333.

The product of its digits is 60480, while the sum is 39.

The square root of 87593142 is about 9359.1207920402. The cubic root of 87593142 is about 444.1094710185.

The spelling of 87593142 in words is "eighty-seven million, five hundred ninety-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 137 182 273 274 411 546 822 959 1171 1781 1918 2342 2877 3513 3562 5343 5754 7026 8197 10686 12467 15223 16394 24591 24934 30446 37401 45669 49182 74802 91338 106561 160427 213122 319683 320854 481281 639366 962562 1122989 2085551 2245978 3368967 4171102 6256653 6737934 12513306 14598857 29197714 43796571 87593142