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87168606 = 23729591213
BaseRepresentation
bin1010011001000…
…01011001011110
320002000121211220
411030201121132
5134303343411
612352154210
72105630610
oct514413136
9202017756
1087168606
1145228078
1225238966
13150a0275
14b810db0
1579bcb06
hex532165e

87168606 has 64 divisors (see below), whose sum is σ = 209779200. Its totient is φ = 23619456.

The previous prime is 87168593. The next prime is 87168607. The reversal of 87168606 is 60686178.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87168607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71256 + ... + 72468.

It is an arithmetic number, because the mean of its divisors is an integer number (3277800).

Almost surely, 287168606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87168606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104889600).

87168606 is an abundant number, since it is smaller than the sum of its proper divisors (122610594).

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

87168606 is a wasteful number, since it uses less digits than its factorization.

87168606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313.

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 87168606 is about 9336.4129086068. The cubic root of 87168606 is about 443.3908231299.

The spelling of 87168606 in words is "eighty-seven million, one hundred sixty-eight thousand, six hundred six".

Divisors: 1 2 3 6 7 14 21 29 42 58 59 87 118 174 177 203 354 406 413 609 826 1213 1218 1239 1711 2426 2478 3422 3639 5133 7278 8491 10266 11977 16982 23954 25473 35177 35931 50946 70354 71567 71862 105531 143134 211062 214701 246239 429402 492478 500969 738717 1001938 1477434 1502907 2075443 3005814 4150886 6226329 12452658 14528101 29056202 43584303 87168606