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87258660 = 22354179449
BaseRepresentation
bin1010011001101…
…11011000100100
320002012012101020
411030313120210
5134314234120
612354131140
72106454266
oct514673044
9202165336
1087258660
11452897a5
1225280ab0
1315102258
14b835b36
1579d9640
hex5337624

87258660 has 96 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 22364160.

The previous prime is 87258641. The next prime is 87258673. The reversal of 87258660 is 6685278.

It is a super-2 number, since 2×872586602 = 15228147489991200, which contains 22 as substring.

It is an unprimeable number.

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, 194116 + ... + 194564.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 287258660 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 87258660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

87258660 is an abundant number, since it is smaller than the sum of its proper divisors (166757340).

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

87258660 is a wasteful number, since it uses less digits than its factorization.

87258660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 87258660 is about 9341.2343938047. The cubic root of 87258660 is about 443.5434597905.

The spelling of 87258660 in words is "eighty-seven million, two hundred fifty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 79 82 123 158 164 205 237 246 316 395 410 449 474 492 615 790 820 898 948 1185 1230 1347 1580 1796 2245 2370 2460 2694 3239 4490 4740 5388 6478 6735 8980 9717 12956 13470 16195 18409 19434 26940 32390 35471 36818 38868 48585 55227 64780 70942 73636 92045 97170 106413 110454 141884 177355 184090 194340 212826 220908 276135 354710 368180 425652 532065 552270 709420 1064130 1104540 1454311 2128260 2908622 4362933 5817244 7271555 8725866 14543110 17451732 21814665 29086220 43629330 87258660