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86202012 = 2231319127229
BaseRepresentation
bin1010010001101…
…01011010011100
320000012111221010
411020311122130
5134031431022
612315335220
72064463551
oct510653234
9200174833
1086202012
1144727936
1224a51510
1314b22310
14b63ca28
15787b50c
hex523569c

86202012 has 96 divisors (see below), whose sum is σ = 230809600. Its totient is φ = 24820992.

The previous prime is 86201989. The next prime is 86202029. The reversal of 86202012 is 21020268.

It is a self number, because there is not a number n which added to its sum of digits gives 86202012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376314 + ... + 376542.

Almost surely, 286202012 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 86202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115404800).

86202012 is an abundant number, since it is smaller than the sum of its proper divisors (144607588).

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

86202012 is a wasteful number, since it uses less digits than its factorization.

86202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 86202012 is about 9284.5038639660. The cubic root of 86202012 is about 441.7458391512.

The spelling of 86202012 in words is "eighty-six million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 127 156 228 229 247 254 381 458 494 508 687 741 762 916 988 1374 1482 1524 1651 2413 2748 2964 2977 3302 4351 4826 4953 5954 6604 7239 8702 8931 9652 9906 11908 13053 14478 17404 17862 19812 26106 28956 29083 31369 35724 52212 56563 58166 62738 87249 94107 113126 116332 125476 169689 174498 188214 226252 339378 348996 376428 378079 552577 678756 756158 1105154 1134237 1512316 1657731 2210308 2268474 3315462 4536948 6630924 7183501 14367002 21550503 28734004 43101006 86202012