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86880220 = 2257738501
BaseRepresentation
bin1010010110110…
…10111111011100
320001110222020221
411023122333130
5134220131340
612342051124
72103320050
oct513327734
9201428227
1086880220
1145050439
1225119aa4
1314ccbc1b
14b777c60
15796244a
hex52dafdc

86880220 has 48 divisors (see below), whose sum is σ = 211393728. Its totient is φ = 29376000.

The previous prime is 86880203. The next prime is 86880239. The reversal of 86880220 is 2208868.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5970 + ... + 14470.

It is an arithmetic number, because the mean of its divisors is an integer number (4404036).

Almost surely, 286880220 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 86880220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105696864).

86880220 is an abundant number, since it is smaller than the sum of its proper divisors (124513508).

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

86880220 is a wasteful number, since it uses less digits than its factorization.

86880220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8590 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 86880220 is about 9320.9559595569. The cubic root of 86880220 is about 442.9013159446.

The spelling of 86880220 in words is "eighty-six million, eight hundred eighty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 5110 8501 10220 17002 34004 42505 59507 85010 119014 170020 238028 297535 595070 620573 1190140 1241146 2482292 3102865 4344011 6205730 8688022 12411460 17376044 21720055 43440110 86880220