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85399040 = 29533359
BaseRepresentation
bin1010001011100…
…01011000000000
312221200201110102
411011301120000
5133330232130
612250221532
72054610536
oct505613000
9187621412
1085399040
1144229621
12247248a8
131490099c
14b4b0156
15776d645
hex5171600

85399040 has 40 divisors (see below), whose sum is σ = 204763680. Its totient is φ = 34158592.

The previous prime is 85399037. The next prime is 85399043. The reversal of 85399040 is 4099358.

It is an interprime number because it is at equal distance from previous prime (85399037) and next prime (85399043).

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

It is a junction number, because it is equal to n+sod(n) for n = 85398985 and 85399003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85399043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14120 + ... + 19239.

It is an arithmetic number, because the mean of its divisors is an integer number (5119092).

Almost surely, 285399040 is an apocalyptic number.

85399040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85399040 is an abundant number, since it is smaller than the sum of its proper divisors (119364640).

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

85399040 is an equidigital number, since it uses as much as digits as its factorization.

85399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33382 (or 33366 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 85399040 is about 9241.1601003337. The cubic root of 85399040 is about 440.3699368166.

The spelling of 85399040 in words is "eighty-five million, three hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 33359 66718 133436 166795 266872 333590 533744 667180 1067488 1334360 2134976 2668720 4269952 5337440 8539904 10674880 17079808 21349760 42699520 85399040