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86542260 = 22357375569
BaseRepresentation
bin1010010100010…
…00011110110100
320000211210122220
411022020132310
5134123323020
612330522340
72100411540
oct512103664
9200753586
1086542260
114493a532
1224b963b0
1314c1114c
14b6caa20
1578e7240
hex52887b4

86542260 has 96 divisors (see below), whose sum is σ = 284471040. Its totient is φ = 19243008.

The previous prime is 86542243. The next prime is 86542277. The reversal of 86542260 is 6224568.

It is an interprime number because it is at equal distance from previous prime (86542243) and next prime (86542277).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12756 + ... + 18324.

It is an arithmetic number, because the mean of its divisors is an integer number (2963240).

Almost surely, 286542260 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 86542260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142235520).

86542260 is an abundant number, since it is smaller than the sum of its proper divisors (197928780).

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

86542260 is a wasteful number, since it uses less digits than its factorization.

86542260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5625 (or 5623 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 86542260 is about 9302.8092531235. The cubic root of 86542260 is about 442.3262811983.

The spelling of 86542260 in words is "eighty-six million, five hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 5569 7770 11138 15540 16707 22276 27845 33414 38983 55690 66828 77966 83535 111380 116949 155932 167070 194915 206053 233898 334140 389830 412106 467796 584745 618159 779660 824212 1030265 1169490 1236318 1442371 2060530 2338980 2472636 2884742 3090795 4121060 4327113 5769484 6181590 7211855 8654226 12363180 14423710 17308452 21635565 28847420 43271130 86542260