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86021754 = 23721371317
BaseRepresentation
bin1010010000010…
…01011001111010
312222212100122220
411020021121322
5134010144004
612311424510
72063113200
oct510113172
9188770586
1086021754
1144614465
1224985136
1314a8b260
14b5d3070
157842dd9
hex520967a

86021754 has 96 divisors (see below), whose sum is σ = 219252096. Its totient is φ = 22296960.

The previous prime is 86021753. The next prime is 86021821. The reversal of 86021754 is 45712068.

It is a super-2 number, since 2×860217542 = 14799484322473032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86021753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271204 + ... + 271520.

It is an arithmetic number, because the mean of its divisors is an integer number (2283876).

Almost surely, 286021754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86021754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109626048).

86021754 is an abundant number, since it is smaller than the sum of its proper divisors (133230342).

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

86021754 is a wasteful number, since it uses less digits than its factorization.

86021754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 86021754 is about 9274.7913184071. The cubic root of 86021754 is about 441.4377110383.

The spelling of 86021754 in words is "eighty-six million, twenty-one thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 71 78 91 98 142 147 182 213 273 294 317 426 497 546 634 637 923 951 994 1274 1491 1846 1902 1911 2219 2769 2982 3479 3822 4121 4438 5538 6461 6657 6958 8242 10437 12363 12922 13314 15533 19383 20874 22507 24726 28847 31066 38766 45014 45227 46599 57694 67521 86541 90454 93198 135042 135681 157549 173082 201929 271362 292591 315098 403858 472647 585182 605787 877773 945294 1102843 1211574 1755546 2048137 2205686 3308529 4096274 6144411 6617058 12288822 14336959 28673918 43010877 86021754