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85010880 = 2635175209
BaseRepresentation
bin1010001000100…
…10100111000000
312220222000000010
411010102213000
5133230322010
612234024520
72051403063
oct504224700
9186860003
1085010880
1143a93a29
1224578140
13147c60c6
14b40c8da
1576e3620
hex51129c0

85010880 has 112 divisors (see below), whose sum is σ = 285841440. Its totient is φ = 21331968.

The previous prime is 85010851. The next prime is 85010899. The reversal of 85010880 is 8801058.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13716 + ... + 18924.

Almost surely, 285010880 is an apocalyptic number.

85010880 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 85010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142920720).

85010880 is an abundant number, since it is smaller than the sum of its proper divisors (200830560).

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

85010880 is a wasteful number, since it uses less digits than its factorization.

85010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5246 (or 5236 counting only the distinct ones).

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

The square root of 85010880 is about 9220.1344892577. The cubic root of 85010880 is about 439.7017262221.

The spelling of 85010880 in words is "eighty-five million, ten thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5209 5440 8160 10418 15627 16320 20836 26045 31254 41672 52090 62508 78135 83344 88553 104180 125016 156270 166688 177106 208360 250032 265659 312540 333376 354212 416720 442765 500064 531318 625080 708424 833440 885530 1000128 1062636 1250160 1328295 1416848 1666880 1771060 2125272 2500320 2656590 2833696 3542120 4250544 5000640 5313180 5667392 7084240 8501088 10626360 14168480 17002176 21252720 28336960 42505440 85010880