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86538720 = 2535180289
BaseRepresentation
bin1010010100001…
…11100111100000
320000211121210210
411022013213200
5134123214340
612330454120
72100365322
oct512074740
9200747723
1086538720
1144937904
1224b94340
1314c0c658
14b6c9612
1578e6180
hex52879e0

86538720 has 48 divisors (see below), whose sum is σ = 272598480. Its totient is φ = 23076864.

The previous prime is 86538707. The next prime is 86538737. The reversal of 86538720 is 2783568.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89665 + ... + 90624.

It is an arithmetic number, because the mean of its divisors is an integer number (5679135).

Almost surely, 286538720 is an apocalyptic number.

86538720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86538720 is an abundant number, since it is smaller than the sum of its proper divisors (186059760).

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

86538720 is a wasteful number, since it uses less digits than its factorization.

86538720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180307 (or 180299 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 86538720 is about 9302.6189860705. The cubic root of 86538720 is about 442.3202500162.

The spelling of 86538720 in words is "eighty-six million, five hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 180289 360578 540867 721156 901445 1081734 1442312 1802890 2163468 2704335 2884624 3605780 4326936 5408670 5769248 7211560 8653872 10817340 14423120 17307744 21634680 28846240 43269360 86538720