Search a number
-
+
868560880 = 245114612141
BaseRepresentation
bin110011110001010…
…010111111110000
32020112100110112111
4303301102333300
53234322422010
6222104135104
730344434315
oct6361227760
92215313474
10868560880
11406309710
12202a67494
1310ac39665
14834d4d0c
15513bb58a
hex33c52ff0

868560880 has 80 divisors (see below), whose sum is σ = 2208796128. Its totient is φ = 315008000.

The previous prime is 868560877. The next prime is 868560911. The reversal of 868560880 is 88065868.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404610 + ... + 406750.

Almost surely, 2868560880 is an apocalyptic number.

868560880 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 868560880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104398064).

868560880 is an abundant number, since it is smaller than the sum of its proper divisors (1340235248).

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

868560880 is a wasteful number, since it uses less digits than its factorization.

868560880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

The square root of 868560880 is about 29471.3569419530. The cubic root of 868560880 is about 954.1136042225.

The spelling of 868560880 in words is "eight hundred sixty-eight million, five hundred sixty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 461 880 922 1844 2141 2305 3688 4282 4610 5071 7376 8564 9220 10142 10705 17128 18440 20284 21410 23551 25355 34256 36880 40568 42820 47102 50710 81136 85640 94204 101420 117755 171280 188408 202840 235510 376816 405680 471020 942040 987001 1884080 1974002 3948004 4935005 7896008 9870010 10857011 15792016 19740020 21714022 39480040 43428044 54285055 78960080 86856088 108570110 173712176 217140220 434280440 868560880