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86513420 = 22572432053
BaseRepresentation
bin1010010100000…
…01011100001100
320000210100002202
411022001130030
5134121412140
612330141032
72100231500
oct512013414
9200710082
1086513420
114491a8a4
1224b81778
1314c00c96
14b6c0300
1578dd915
hex528170c

86513420 has 72 divisors (see below), whose sum is σ = 216360144. Its totient is φ = 28957824.

The previous prime is 86513407. The next prime is 86513431. The reversal of 86513420 is 2431568.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41114 + ... + 43166.

It is an arithmetic number, because the mean of its divisors is an integer number (3005002).

Almost surely, 286513420 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 86513420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108180072).

86513420 is an abundant number, since it is smaller than the sum of its proper divisors (129846724).

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

86513420 is a wasteful number, since it uses less digits than its factorization.

86513420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 86513420 is about 9301.2590545582. The cubic root of 86513420 is about 442.2771410162.

Adding to 86513420 its reverse (2431568), we get a palindrome (88944988).

The spelling of 86513420 in words is "eighty-six million, five hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 172 196 215 245 301 430 490 602 860 980 1204 1505 2053 2107 3010 4106 4214 6020 8212 8428 10265 10535 14371 20530 21070 28742 41060 42140 57484 71855 88279 100597 143710 176558 201194 287420 353116 402388 441395 502985 617953 882790 1005970 1235906 1765580 2011940 2471812 3089765 4325671 6179530 8651342 12359060 17302684 21628355 43256710 86513420