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86730720 = 25351011789
BaseRepresentation
bin1010010101101…
…10011111100000
320001012101011220
411022312133200
5134200340340
612334535040
72102125146
oct512663740
9201171156
1086730720
1144a5908a
1225067480
1314c78b6b
14b739596
157932ed0
hex52b67e0

86730720 has 96 divisors (see below), whose sum is σ = 276060960. Its totient is φ = 22886400.

The previous prime is 86730667. The next prime is 86730779. The reversal of 86730720 is 2703768.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47586 + ... + 49374.

It is an arithmetic number, because the mean of its divisors is an integer number (2875635).

Almost surely, 286730720 is an apocalyptic number.

86730720 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 86730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138030480).

86730720 is an abundant number, since it is smaller than the sum of its proper divisors (189330240).

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

86730720 is a wasteful number, since it uses less digits than its factorization.

86730720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 86730720 is about 9312.9329429563. The cubic root of 86730720 is about 442.6471278129.

The spelling of 86730720 in words is "eighty-six million, seven hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 480 505 606 808 1010 1212 1515 1616 1789 2020 2424 3030 3232 3578 4040 4848 5367 6060 7156 8080 8945 9696 10734 12120 14312 16160 17890 21468 24240 26835 28624 35780 42936 48480 53670 57248 71560 85872 107340 143120 171744 180689 214680 286240 361378 429360 542067 722756 858720 903445 1084134 1445512 1806890 2168268 2710335 2891024 3613780 4336536 5420670 5782048 7227560 8673072 10841340 14455120 17346144 21682680 28910240 43365360 86730720