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85080810 = 2354783727
BaseRepresentation
bin1010001001000…
…11101011101010
312221002112221010
411010203223222
5133240041220
612235324350
72052114003
oct504435352
9187075833
1085080810
1144031521
12245b06b6
131481bb99
14b42a1aa
1577091e0
hex5123aea

85080810 has 64 divisors (see below), whose sum is σ = 211341312. Its totient is φ = 21907776.

The previous prime is 85080761. The next prime is 85080811. The reversal of 85080810 is 1808058.

It is a super-2 number, since 2×850808102 = 14477488460512200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (85080811) by changing a digit.

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, 116667 + ... + 117393.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208).

Almost surely, 285080810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85080810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

85080810 is an abundant number, since it is smaller than the sum of its proper divisors (126260502).

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

85080810 is a wasteful number, since it uses less digits than its factorization.

85080810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867.

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 85080810 is about 9223.9259537358. The cubic root of 85080810 is about 439.8222594776.

Adding to 85080810 its reverse (1808058), we get a palindrome (86888868).

The spelling of 85080810 in words is "eighty-five million, eighty thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 83 94 141 166 235 249 282 415 470 498 705 727 830 1245 1410 1454 2181 2490 3635 3901 4362 7270 7802 10905 11703 19505 21810 23406 34169 39010 58515 60341 68338 102507 117030 120682 170845 181023 205014 301705 341690 362046 512535 603410 905115 1025070 1810230 2836027 5672054 8508081 14180135 17016162 28360270 42540405 85080810