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86026720 = 2551359701
BaseRepresentation
bin1010010000010…
…10100111100000
312222212121110211
411020022213200
5134010323340
612311503504
72063133523
oct510124740
9188777424
1086026720
114461816a
1224987b94
1314a905b0
14b5d4bba
1578445ea
hex520a9e0

86026720 has 96 divisors (see below), whose sum is σ = 222899040. Its totient is φ = 31180800.

The previous prime is 86026711. The next prime is 86026723. The reversal of 86026720 is 2762068.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86026723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122370 + ... + 123070.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 286026720 is an apocalyptic number.

86026720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86026720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111449520).

86026720 is an abundant number, since it is smaller than the sum of its proper divisors (136872320).

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

86026720 is a wasteful number, since it uses less digits than its factorization.

86026720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 86026720 is about 9275.0590294618. The cubic root of 86026720 is about 441.4462055465.

Adding to 86026720 its reverse (2762068), we get a palindrome (88788788).

The spelling of 86026720 in words is "eighty-six million, twenty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 65 80 104 118 130 160 208 236 260 295 416 472 520 590 701 767 944 1040 1180 1402 1534 1888 2080 2360 2804 3068 3505 3835 4720 5608 6136 7010 7670 9113 9440 11216 12272 14020 15340 18226 22432 24544 28040 30680 36452 41359 45565 56080 61360 72904 82718 91130 112160 122720 145808 165436 182260 206795 291616 330872 364520 413590 537667 661744 729040 827180 1075334 1323488 1458080 1654360 2150668 2688335 3308720 4301336 5376670 6617440 8602672 10753340 17205344 21506680 43013360 86026720