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85730880 = 263589303
BaseRepresentation
bin1010001110000…
…10011001000000
312222022120122210
411013002121000
5133421342010
612301302120
72060462154
oct507023100
9188276583
1085730880
1144435974
1224864940
13149b8a41
14b559064
1577d6b20
hex51c2640

85730880 has 56 divisors (see below), whose sum is σ = 272198592. Its totient is φ = 22861312.

The previous prime is 85730849. The next prime is 85730893. The reversal of 85730880 is 8803758.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43692 + ... + 45611.

Almost surely, 285730880 is an apocalyptic number.

85730880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85730880 is an abundant number, since it is smaller than the sum of its proper divisors (186467712).

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

85730880 is a wasteful number, since it uses less digits than its factorization.

85730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89323 (or 89313 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 85730880 is about 9259.0971482105. The cubic root of 85730880 is about 440.9395899378.

The spelling of 85730880 in words is "eighty-five million, seven hundred thirty thousand, eight hundred eighty".

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 89303 178606 267909 357212 446515 535818 714424 893030 1071636 1339545 1428848 1786060 2143272 2679090 2857696 3572120 4286544 5358180 5715392 7144240 8573088 10716360 14288480 17146176 21432720 28576960 42865440 85730880