Search a number
-
+
21280802160 = 2435727121967
BaseRepresentation
bin10011110100011011…
…110100010101110000
32000221002120202111210
4103310123310111300
5322040341132120
613435401240120
71352233555662
oct236433642560
960832522453
1021280802160
119030504702
12415aa93040
132011b50637
14105c44a532
15848417ce0
hex4f46f4570

21280802160 has 80 divisors (see below), whose sum is σ = 66061771776. Its totient is φ = 5667028224.

The previous prime is 21280802119. The next prime is 21280802167. The reversal of 21280802160 is 6120808212.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21280802167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113497 + ... + 235463.

Almost surely, 221280802160 is an apocalyptic number.

21280802160 is a gapful number since it is divisible by the number (20) 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 21280802160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33030885888).

21280802160 is an abundant number, since it is smaller than the sum of its proper divisors (44780969616).

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

21280802160 is a wasteful number, since it uses less digits than its factorization.

21280802160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122710 (or 122704 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 21280802160 in words is "twenty-one billion, two hundred eighty million, eight hundred two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 727 1454 2181 2908 3635 4362 5816 7270 8724 10905 11632 14540 17448 21810 29080 34896 43620 58160 87240 121967 174480 243934 365901 487868 609835 731802 975736 1219670 1463604 1829505 1951472 2439340 2927208 3659010 4878680 5854416 7318020 9757360 14636040 29272080 88670009 177340018 266010027 354680036 443350045 532020054 709360072 886700090 1064040108 1330050135 1418720144 1773400180 2128080216 2660100270 3546800360 4256160432 5320200540 7093600720 10640401080 21280802160