Search a number
-
+
85341780 = 223252916349
BaseRepresentation
bin1010001011000…
…11011001010100
312221120210220200
411011203121110
5133321414110
612245100500
72054251566
oct505433124
9187523820
1085341780
114419a5a7
12246b7730
13148b08c4
14b497336
15775b6c0
hex5163654

85341780 has 72 divisors (see below), whose sum is σ = 267813000. Its totient is φ = 21971712.

The previous prime is 85341743. The next prime is 85341793. The reversal of 85341780 is 8714358.

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 83503044 = 1356^2 + 9138^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2955 + ... + 13394.

It is an arithmetic number, because the mean of its divisors is an integer number (3719625).

Almost surely, 285341780 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 85341780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133906500).

85341780 is an abundant number, since it is smaller than the sum of its proper divisors (182471220).

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

85341780 is a wasteful number, since it uses less digits than its factorization.

85341780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16393 (or 16388 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85341780 is about 9238.0614849653. The cubic root of 85341780 is about 440.2714922269.

The spelling of 85341780 in words is "eighty-five million, three hundred forty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 16349 32698 49047 65396 81745 98094 147141 163490 196188 245235 294282 326980 474121 490470 588564 735705 948242 980940 1422363 1471410 1896484 2370605 2844726 2942820 4267089 4741210 5689452 7111815 8534178 9482420 14223630 17068356 21335445 28447260 42670890 85341780