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85300720 = 2454012659
BaseRepresentation
bin1010001010110…
…01010111110000
312221111201120221
411011121113300
5133314110340
612244142424
72054021101
oct505312760
9187451527
1085300720
114417176a
1224697a14
1314897ccb
14b4863a8
15774e44a
hex51595f0

85300720 has 40 divisors (see below), whose sum is σ = 198893520. Its totient is φ = 34022400.

The previous prime is 85300717. The next prime is 85300727. The reversal of 85300720 is 2700358.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85300727) 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 7 ways as a sum of consecutive naturals, for example, 30751 + ... + 33409.

It is an arithmetic number, because the mean of its divisors is an integer number (4972338).

Almost surely, 285300720 is an apocalyptic number.

85300720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85300720 is an abundant number, since it is smaller than the sum of its proper divisors (113592800).

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

85300720 is a wasteful number, since it uses less digits than its factorization.

85300720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 85300720 is about 9235.8388898898. The cubic root of 85300720 is about 440.2008724694.

The spelling of 85300720 in words is "eighty-five million, three hundred thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 401 802 1604 2005 2659 3208 4010 5318 6416 8020 10636 13295 16040 21272 26590 32080 42544 53180 106360 212720 1066259 2132518 4265036 5331295 8530072 10662590 17060144 21325180 42650360 85300720