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85010112 = 26321113417
BaseRepresentation
bin1010001000100…
…10011011000000
312220221221221200
411010102123000
5133230310422
612234021200
72051400615
oct504223300
9186857850
1085010112
1143a933a0
1224577800
13147c5955
14b40c50c
1576e32ac
hex51126c0

85010112 has 84 divisors (see below), whose sum is σ = 265837416. Its totient is φ = 25758720.

The previous prime is 85010071. The next prime is 85010113. The reversal of 85010112 is 21101058.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (85010113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 373 + ... + 13044.

Almost surely, 285010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132918708).

85010112 is an abundant number, since it is smaller than the sum of its proper divisors (180827304).

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

85010112 is a wasteful number, since it uses less digits than its factorization.

85010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13446 (or 13433 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 85010112 is about 9220.0928411812. The cubic root of 85010112 is about 439.7004021094.

The spelling of 85010112 in words is "eighty-five million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 13417 26834 40251 53668 80502 107336 120753 147587 161004 214672 241506 295174 322008 429344 442761 483012 590348 644016 858688 885522 966024 1180696 1288032 1328283 1771044 1932048 2361392 2576064 2656566 3542088 3864096 4722784 5313132 7084176 7728192 9445568 10626264 14168352 21252528 28336704 42505056 85010112