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86536240 = 2457413769
BaseRepresentation
bin1010010100001…
…11000000110000
320000211111101221
411022013000300
5134123124430
612330434424
72100355150
oct512070060
9200744357
1086536240
1144935a5a
1224b92a14
1314c0b49b
14b6c8760
1578e557a
hex5287030

86536240 has 80 divisors (see below), whose sum is σ = 235609920. Its totient is φ = 28938240.

The previous prime is 86536217. The next prime is 86536243. The reversal of 86536240 is 4263568.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 86536196 and 86536205.

It is not an unprimeable number, because it can be changed into a prime (86536243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21076 + ... + 24844.

It is an arithmetic number, because the mean of its divisors is an integer number (2945124).

Almost surely, 286536240 is an apocalyptic number.

86536240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86536240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117804960).

86536240 is an abundant number, since it is smaller than the sum of its proper divisors (149073680).

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

86536240 is a wasteful number, since it uses less digits than its factorization.

86536240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 86536240 is about 9302.4856893198. The cubic root of 86536240 is about 442.3160246833.

The spelling of 86536240 in words is "eighty-six million, five hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 3769 4592 5740 7538 11480 15076 18845 22960 26383 30152 37690 52766 60304 75380 105532 131915 150760 154529 211064 263830 301520 309058 422128 527660 618116 772645 1055320 1081703 1236232 1545290 2110640 2163406 2472464 3090580 4326812 5408515 6181160 8653624 10817030 12362320 17307248 21634060 43268120 86536240