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86214780 = 22345192801
BaseRepresentation
bin1010010001110…
…00100001111100
320000020011110000
411020320201330
5134032333110
612315514300
72064546021
oct510704174
9200204400
1086214780
1144736493
1224a58990
1314b28082
14b643548
1578801c0
hex523887c

86214780 has 120 divisors (see below), whose sum is σ = 284795280. Its totient is φ = 21772800.

The previous prime is 86214757. The next prime is 86214781. The reversal of 86214780 is 8741268.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86214781) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29380 + ... + 32180.

It is an arithmetic number, because the mean of its divisors is an integer number (2373294).

Almost surely, 286214780 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 86214780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142397640).

86214780 is an abundant number, since it is smaller than the sum of its proper divisors (198580500).

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

86214780 is a wasteful number, since it uses less digits than its factorization.

86214780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 86214780 is about 9285.1914358294. The cubic root of 86214780 is about 441.7676481257.

The spelling of 86214780 in words is "eighty-six million, two hundred fourteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 2801 3078 3420 5130 5602 6156 7695 8403 10260 11204 14005 15390 16806 25209 28010 30780 33612 42015 50418 53219 56020 75627 84030 100836 106438 126045 151254 159657 168060 212876 226881 252090 266095 302508 319314 378135 453762 478971 504180 532190 638628 756270 798285 907524 957942 1064380 1134405 1436913 1512540 1596570 1915884 2268810 2394855 2873826 3193140 4310739 4537620 4789710 5747652 7184565 8621478 9579420 14369130 17242956 21553695 28738260 43107390 86214780