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87135500 = 2253237577
BaseRepresentation
bin1010011000110…
…01010100001100
320001221221102202
411030121110030
5134301314000
612351341032
72105432234
oct514312414
9201857382
1087135500
1145205211
1225221778
131508b18a
14b802cc4
1579b2dd5
hex531950c

87135500 has 48 divisors (see below), whose sum is σ = 198604224. Its totient is φ = 33334400.

The previous prime is 87135493. The next prime is 87135541. The reversal of 87135500 is 553178.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7712 + ... + 15288.

It is an arithmetic number, because the mean of its divisors is an integer number (4137588).

Almost surely, 287135500 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 87135500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99302112).

87135500 is an abundant number, since it is smaller than the sum of its proper divisors (111468724).

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

87135500 is a wasteful number, since it uses less digits than its factorization.

87135500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7619 (or 7607 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 87135500 is about 9334.6397895152. The cubic root of 87135500 is about 443.3346838232.

Adding to 87135500 its reverse (553178), we get a palindrome (87688678).

The spelling of 87135500 in words is "eighty-seven million, one hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 575 1150 2300 2875 5750 7577 11500 15154 30308 37885 75770 151540 174271 189425 348542 378850 697084 757700 871355 947125 1742710 1894250 3485420 3788500 4356775 8713550 17427100 21783875 43567750 87135500