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85823040 = 263589399
BaseRepresentation
bin1010001110110…
…00111001000000
312222111021002010
411013120321000
5133432314130
612303252520
72061324642
oct507307100
9188437063
1085823040
1144499136
12248aa140
1314a1b984
14b580892
1578040b0
hex51d8e40

85823040 has 56 divisors (see below), whose sum is σ = 272491200. Its totient is φ = 22885888.

The previous prime is 85823027. The next prime is 85823041. The reversal of 85823040 is 4032858.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 85822989 and 85823007.

It is not an unprimeable number, because it can be changed into a prime (85823041) 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 7 ways as a sum of consecutive naturals, for example, 43740 + ... + 45659.

Almost surely, 285823040 is an apocalyptic number.

85823040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85823040 is an abundant number, since it is smaller than the sum of its proper divisors (186668160).

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

85823040 is a wasteful number, since it uses less digits than its factorization.

85823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89419 (or 89409 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 85823040 is about 9264.0725385761. The cubic root of 85823040 is about 441.0975355144.

Adding to 85823040 its reverse (4032858), we get a palindrome (89855898).

The spelling of 85823040 in words is "eighty-five million, eight hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 89399 178798 268197 357596 446995 536394 715192 893990 1072788 1340985 1430384 1787980 2145576 2681970 2860768 3575960 4291152 5363940 5721536 7151920 8582304 10727880 14303840 17164608 21455760 28607680 42911520 85823040