Search a number
-
+
86765568 = 212323307
BaseRepresentation
bin1010010101111…
…11000000000000
320001021010222120
411022333000000
5134202444233
612335404240
72102331561
oct512770000
9201233876
1086765568
1144a8228a
1225083680
1314c8b996
14b748168
15793d4b3
hex52bf000

86765568 has 104 divisors (see below), whose sum is σ = 242191488. Its totient is φ = 27574272.

The previous prime is 86765527. The next prime is 86765587. The reversal of 86765568 is 86556768.

It is a self number, because there is not a number n which added to its sum of digits gives 86765568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282471 + ... + 282777.

Almost surely, 286765568 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 86765568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121095744).

86765568 is an abundant number, since it is smaller than the sum of its proper divisors (155425920).

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

86765568 is a wasteful number, since it uses less digits than its factorization.

86765568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The square root of 86765568 is about 9314.8037016354. The cubic root of 86765568 is about 442.7064043938.

The spelling of 86765568 in words is "eighty-six million, seven hundred sixty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 307 368 384 512 552 614 736 768 921 1024 1104 1228 1472 1536 1842 2048 2208 2456 2944 3072 3684 4096 4416 4912 5888 6144 7061 7368 8832 9824 11776 12288 14122 14736 17664 19648 21183 23552 28244 29472 35328 39296 42366 47104 56488 58944 70656 78592 84732 94208 112976 117888 141312 157184 169464 225952 235776 282624 314368 338928 451904 471552 628736 677856 903808 943104 1257472 1355712 1807616 1886208 2711424 3615232 3772416 5422848 7230464 10845696 14460928 21691392 28921856 43382784 86765568