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87398520 = 23351173907
BaseRepresentation
bin1010011010110…
…01100001111000
320002110022020020
411031121201320
5134333223040
612401130440
72110606116
oct515314170
9202408206
1087398520
1145374890
1225329a20
1315150b01
14b870ab6
157a15cd0
hex5359878

87398520 has 128 divisors (see below), whose sum is σ = 290269440. Its totient is φ = 20874240.

The previous prime is 87398503. The next prime is 87398527. The reversal of 87398520 is 2589378.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87398527) 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, 95907 + ... + 96813.

It is an arithmetic number, because the mean of its divisors is an integer number (2267730).

Almost surely, 287398520 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 87398520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145134720).

87398520 is an abundant number, since it is smaller than the sum of its proper divisors (202870920).

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

87398520 is a wasteful number, since it uses less digits than its factorization.

87398520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 87398520 is about 9348.7175591094. The cubic root of 87398520 is about 443.7803068635.

The spelling of 87398520 in words is "eighty-seven million, three hundred ninety-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 73 88 110 120 132 146 165 219 220 264 292 330 365 438 440 584 660 730 803 876 907 1095 1320 1460 1606 1752 1814 2190 2409 2721 2920 3212 3628 4015 4380 4535 4818 5442 6424 7256 8030 8760 9070 9636 9977 10884 12045 13605 16060 18140 19272 19954 21768 24090 27210 29931 32120 36280 39908 48180 49885 54420 59862 66211 79816 96360 99770 108840 119724 132422 149655 198633 199540 239448 264844 299310 331055 397266 399080 529688 598620 662110 728321 794532 993165 1197240 1324220 1456642 1589064 1986330 2184963 2648440 2913284 3641605 3972660 4369926 5826568 7283210 7945320 8739852 10924815 14566420 17479704 21849630 29132840 43699260 87398520