Search a number
-
+
86704176 = 24313413389
BaseRepresentation
bin1010010101100…
…00000000110000
320001011000202210
411022300000300
5134144013201
612334212120
72101654566
oct512600060
9201130683
1086704176
1144a40149
1225054040
1314c69a60
14b72da36
15792a1d6
hex52b0030

86704176 has 80 divisors (see below), whose sum is σ = 247171680. Its totient is φ = 26019840.

The previous prime is 86704153. The next prime is 86704243. The reversal of 86704176 is 67140768.

It is a super-2 number, since 2×867041762 = 15035228271677952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 23890 + ... + 27278.

It is an arithmetic number, because the mean of its divisors is an integer number (3089646).

Almost surely, 286704176 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 86704176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123585840).

86704176 is an abundant number, since it is smaller than the sum of its proper divisors (160467504).

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

86704176 is a wasteful number, since it uses less digits than its factorization.

86704176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 86704176 is about 9311.5077189465. The cubic root of 86704176 is about 442.6019657134.

The spelling of 86704176 in words is "eighty-six million, seven hundred four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1968 2132 3198 3389 4264 6396 6778 8528 10167 12792 13556 20334 25584 27112 40668 44057 54224 81336 88114 132171 138949 162672 176228 264342 277898 352456 416847 528684 555796 704912 833694 1057368 1111592 1667388 1806337 2114736 2223184 3334776 3612674 5419011 6669552 7225348 10838022 14450696 21676044 28901392 43352088 86704176