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85770 = 2325953
BaseRepresentation
bin10100111100001010
311100122200
4110330022
510221040
61501030
7505026
oct247412
9140580
1085770
1159493
1241776
1330069
1423386
151a630
hex14f0a

85770 has 24 divisors (see below), whose sum is σ = 223236. Its totient is φ = 22848.

The previous prime is 85751. The next prime is 85781. The reversal of 85770 is 7758.

Added to its reverse (7758) it gives a triangular number (93528 = T432).

It can be written as a sum of positive squares in 2 ways, for example, as 84681 + 1089 = 291^2 + 33^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387 + ... + 566.

285770 is an apocalyptic number.

85770 is an abundant number, since it is smaller than the sum of its proper divisors (137466).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111618).

85770 is a wasteful number, since it uses less digits than its factorization.

85770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 85770 is about 292.8651566848. The cubic root of 85770 is about 44.1006648364.

Adding to 85770 its reverse (7758), we get a triangular number (93528 = T432).

It can be divided in two parts, 8 and 5770, that added together give a triangular number (5778 = T107).

The spelling of 85770 in words is "eighty-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 953 1906 2859 4765 5718 8577 9530 14295 17154 28590 42885 85770