Search a number
-
+
85280104 = 2371329011
BaseRepresentation
bin1010001010101…
…00010101101000
312221110200022101
411011110111220
5133312430404
612243503144
72053604020
oct505242550
9187420271
1085280104
1144158228
1224687ab4
131488b800
14b47ca80
1577482a4
hex5154568

85280104 has 48 divisors (see below), whose sum is σ = 197903520. Its totient is φ = 33733440.

The previous prime is 85280099. The next prime is 85280131. The reversal of 85280104 is 40108258.

It is a super-2 number, since 2×852801042 = 14545392276501632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4959 + ... + 13969.

It is an arithmetic number, because the mean of its divisors is an integer number (4122990).

Almost surely, 285280104 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 85280104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98951760).

85280104 is an abundant number, since it is smaller than the sum of its proper divisors (112623416).

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

85280104 is a wasteful number, since it uses less digits than its factorization.

85280104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9050 (or 9033 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 85280104 is about 9234.7227354155. The cubic root of 85280104 is about 440.1654061318.

The spelling of 85280104 in words is "eighty-five million, two hundred eighty thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1352 2366 4732 9011 9464 18022 36044 63077 72088 117143 126154 234286 252308 468572 504616 820001 937144 1522859 1640002 3045718 3280004 6091436 6560008 10660013 12182872 21320026 42640052 85280104