Search a number
-
+
86785104 = 24371731493
BaseRepresentation
bin1010010110000…
…11110001010000
320001022010210010
411023003301100
5134204110404
612340034520
72102442540
oct513036120
9201263703
1086785104
1144a95a2a
1225092a40
1314c97843
14b751320
157944189
hex52c3c50

86785104 has 80 divisors (see below), whose sum is σ = 257876352. Its totient is φ = 24635904.

The previous prime is 86785079. The next prime is 86785123. The reversal of 86785104 is 40158768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57382 + ... + 58874.

Almost surely, 286785104 is an apocalyptic number.

86785104 is a gapful number since it is divisible by the number (84) 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 86785104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128938176).

86785104 is an abundant number, since it is smaller than the sum of its proper divisors (171091248).

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

86785104 is a wasteful number, since it uses less digits than its factorization.

86785104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 86785104 is about 9315.8522959523. The cubic root of 86785104 is about 442.7396282617.

The spelling of 86785104 in words is "eighty-six million, seven hundred eighty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 173 336 346 519 692 1038 1211 1384 1493 2076 2422 2768 2986 3633 4152 4479 4844 5972 7266 8304 8958 9688 10451 11944 14532 17916 19376 20902 23888 29064 31353 35832 41804 58128 62706 71664 83608 125412 167216 250824 258289 501648 516578 774867 1033156 1549734 1808023 2066312 3099468 3616046 4132624 5424069 6198936 7232092 10848138 12397872 14464184 21696276 28928368 43392552 86785104