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85142240 = 2554112979
BaseRepresentation
bin1010001001100…
…10101011100000
312221012200012022
411010302223200
5133244022430
612240521012
72052461051
oct504625340
9187180168
1085142240
1144073697
1224620168
1314840b31
14b444728
15771c4e5
hex5132ae0

85142240 has 48 divisors (see below), whose sum is σ = 206070480. Its totient is φ = 33223680.

The previous prime is 85142237. The next prime is 85142263. The reversal of 85142240 is 4224158.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 71 + ... + 13049.

It is an arithmetic number, because the mean of its divisors is an integer number (4293135).

Almost surely, 285142240 is an apocalyptic number.

85142240 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 85142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103035240).

85142240 is an abundant number, since it is smaller than the sum of its proper divisors (120928240).

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

85142240 is a wasteful number, since it uses less digits than its factorization.

85142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13035 (or 13027 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 85142240 is about 9227.2552798760. The cubic root of 85142240 is about 439.9280874210.

Adding to 85142240 its reverse (4224158), we get a palindrome (89366398).

The spelling of 85142240 in words is "eighty-five million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 12979 25958 51916 64895 103832 129790 207664 259580 415328 519160 532139 1038320 1064278 2076640 2128556 2660695 4257112 5321390 8514224 10642780 17028448 21285560 42571120 85142240