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86620905 = 32571941353
BaseRepresentation
bin1010010100110…
…11101011101001
320000222210112200
411022123223221
5134133332110
612332330413
72101160040
oct512335351
9200883480
1086620905
1144993628
1225013a09
1314c3ab97
14b70b557
1579106c0
hex529bae9

86620905 has 96 divisors (see below), whose sum is σ = 185552640. Its totient is φ = 36495360.

The previous prime is 86620879. The next prime is 86620907. The reversal of 86620905 is 50902668.

It is not a de Polignac number, because 86620905 - 26 = 86620841 is a prime.

It is a super-3 number, since 3×866209053 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 86620905.

It is not an unprimeable number, because it can be changed into a prime (86620907) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245209 + ... + 245561.

It is an arithmetic number, because the mean of its divisors is an integer number (1932840).

Almost surely, 286620905 is an apocalyptic number.

It is an amenable number.

86620905 is an abundant number, since it is smaller than the sum of its proper divisors (98931735).

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

86620905 is a wasteful number, since it uses less digits than its factorization.

86620905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 86620905 is about 9307.0352422240. The cubic root of 86620905 is about 442.4602281596.

The spelling of 86620905 in words is "eighty-six million, six hundred twenty thousand, nine hundred five".

Divisors: 1 3 5 7 9 15 19 21 35 41 45 57 63 95 105 123 133 171 205 285 287 315 353 369 399 615 665 779 855 861 1059 1197 1435 1765 1845 1995 2337 2471 2583 3177 3895 4305 5295 5453 5985 6707 7011 7413 11685 12355 12915 14473 15885 16359 20121 22239 27265 33535 35055 37065 43419 46949 49077 60363 72365 81795 100605 101311 111195 130257 140847 217095 234745 245385 274987 301815 303933 422541 506555 651285 704235 824961 911799 1374935 1519665 1924909 2112705 2474883 4124805 4558995 5774727 9624545 12374415 17324181 28873635 86620905