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87355660 = 22575361193
BaseRepresentation
bin1010011010011…
…11000100001100
320002101010102211
411031033010030
5134330340120
612400200204
72110340140
oct515170414
9202333384
1087355660
1145345667
1225309064
1315137452
14b85d220
157a0825a
hex534f10c

87355660 has 96 divisors (see below), whose sum is σ = 218236032. Its totient is φ = 28753920.

The previous prime is 87355651. The next prime is 87355663. The reversal of 87355660 is 6655378.

It is a super-2 number, since 2×873556602 = 15262022668071200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87355663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452524 + ... + 452716.

It is an arithmetic number, because the mean of its divisors is an integer number (2273292).

Almost surely, 287355660 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 87355660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109118016).

87355660 is an abundant number, since it is smaller than the sum of its proper divisors (130880372).

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

87355660 is a wasteful number, since it uses less digits than its factorization.

87355660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 87355660 is about 9346.4249849876. The cubic root of 87355660 is about 443.7077521109.

The spelling of 87355660 in words is "eighty-seven million, three hundred fifty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 61 70 106 122 140 193 212 244 265 305 371 386 427 530 610 742 772 854 965 1060 1220 1351 1484 1708 1855 1930 2135 2702 3233 3710 3860 4270 5404 6466 6755 7420 8540 10229 11773 12932 13510 16165 20458 22631 23546 27020 32330 40916 45262 47092 51145 58865 64660 71603 82411 90524 102290 113155 117730 143206 164822 204580 226310 235460 286412 329644 358015 412055 452620 623969 716030 824110 1247938 1432060 1648220 2495876 3119845 4367783 6239690 8735566 12479380 17471132 21838915 43677830 87355660