Search a number
-
+
86676720 = 24351322137
BaseRepresentation
bin1010010101010…
…01010011110000
320001002122002220
411022221103300
5134142123340
612333441040
72101511544
oct512512360
9201078086
1086676720
1144a21559
1225040180
1314c5a400
14b723a24
157921ed0
hex52a94f0

86676720 has 120 divisors (see below), whose sum is σ = 291092976. Its totient is φ = 21325824.

The previous prime is 86676703. The next prime is 86676731. The reversal of 86676720 is 2767668.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 39492 + ... + 41628.

Almost surely, 286676720 is an apocalyptic number.

86676720 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 86676720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145546488).

86676720 is an abundant number, since it is smaller than the sum of its proper divisors (204416256).

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

86676720 is a wasteful number, since it uses less digits than its factorization.

86676720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 86676720 is about 9310.0332974700. The cubic root of 86676720 is about 442.5552422334. Note that the first 3 decimals are identical.

The spelling of 86676720 in words is "eighty-six million, six hundred seventy-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2137 2535 2704 3120 3380 4056 4274 5070 6411 6760 8112 8548 10140 10685 12822 13520 17096 20280 21370 25644 27781 32055 34192 40560 42740 51288 55562 64110 83343 85480 102576 111124 128220 138905 166686 170960 222248 256440 277810 333372 361153 416715 444496 512880 555620 666744 722306 833430 1083459 1111240 1333488 1444612 1666860 1805765 2166918 2222480 2889224 3333720 3611530 4333836 5417295 5778448 6667440 7223060 8667672 10834590 14446120 17335344 21669180 28892240 43338360 86676720