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86022040 = 235131737263
BaseRepresentation
bin1010010000010…
…01011110011000
312222212101001111
411020021132120
5134010201130
612311430104
72063114056
oct510113630
9188771044
1086022040
11446146a5
1224985334
1314a8b420
14b5d31d6
15784302a
hex5209798

86022040 has 128 divisors (see below), whose sum is σ = 227525760. Its totient is φ = 28975104.

The previous prime is 86022029. The next prime is 86022043. The reversal of 86022040 is 4022068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86022043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 326949 + ... + 327211.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545).

Almost surely, 286022040 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 86022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762880).

86022040 is an abundant number, since it is smaller than the sum of its proper divisors (141503720).

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

86022040 is a wasteful number, since it uses less digits than its factorization.

86022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 86022040 is about 9274.8067365310. The cubic root of 86022040 is about 441.4382002597.

The spelling of 86022040 in words is "eighty-six million, twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 37 40 52 65 68 74 85 104 130 136 148 170 185 221 260 263 296 340 370 442 481 520 526 629 680 740 884 962 1052 1105 1258 1315 1480 1768 1924 2104 2210 2405 2516 2630 3145 3419 3848 4420 4471 4810 5032 5260 6290 6838 8177 8840 8942 9620 9731 10520 12580 13676 16354 17095 17884 19240 19462 22355 25160 27352 32708 34190 35768 38924 40885 44710 48655 58123 65416 68380 77848 81770 89420 97310 116246 126503 136760 163540 165427 178840 194620 232492 253006 290615 327080 330854 389240 464984 506012 581230 632515 661708 827135 1012024 1162460 1265030 1323416 1654270 2150551 2324920 2530060 3308540 4301102 5060120 6617080 8602204 10752755 17204408 21505510 43011020 86022040