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87319674 = 23313173719
BaseRepresentation
bin1010011010001…
…10010001111010
320002022022002000
411031012101322
5134323212144
612355321430
72110130211
oct515062172
9202268060
1087319674
1145320622
12252b0276
1315123c60
14b850078
1579ec769
hex534647a

87319674 has 64 divisors (see below), whose sum is σ = 210470400. Its totient is φ = 26675136.

The previous prime is 87319669. The next prime is 87319679. The reversal of 87319674 is 47691378.

It is an interprime number because it is at equal distance from previous prime (87319669) and next prime (87319679).

It is not an unprimeable number, because it can be changed into a prime (87319679) 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, 121087 + ... + 121805.

It is an arithmetic number, because the mean of its divisors is an integer number (3288600).

Almost surely, 287319674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87319674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105235200).

87319674 is an abundant number, since it is smaller than the sum of its proper divisors (123150726).

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

87319674 is a wasteful number, since it uses less digits than its factorization.

87319674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 910 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 87319674 is about 9344.4996655787. The cubic root of 87319674 is about 443.6468155510.

The spelling of 87319674 in words is "eighty-seven million, three hundred nineteen thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 173 234 346 351 519 702 719 1038 1438 1557 2157 2249 3114 4314 4498 4671 6471 6747 9342 9347 12942 13494 18694 19413 20241 28041 38826 40482 56082 60723 84123 121446 124387 168246 248774 252369 373161 504738 746322 1119483 1617031 2238966 3234062 3358449 4851093 6716898 9702186 14553279 29106558 43659837 87319674