Search a number
-
+
2087082088 = 2372133711069
BaseRepresentation
bin111110001100110…
…0101100001101000
312101110012202101121
41330121211201220
513233243111323
6543033225024
7102501622300
oct17431454150
95343182347
102087082088
11981115733
124a2b62174
13273517120
1415b286600
15c3364a5d
hex7c665868

2087082088 has 96 divisors (see below), whose sum is σ = 5035300200. Its totient is φ = 803271168.

The previous prime is 2087082017. The next prime is 2087082097. The reversal of 2087082088 is 8802807802.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1425666564 + 661415524 = 37758^2 + 25718^2 .

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, 183018 + ... + 194086.

Almost surely, 22087082088 is an apocalyptic number.

2087082088 is a gapful number since it is divisible by the number (28) 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 2087082088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517650100).

2087082088 is an abundant number, since it is smaller than the sum of its proper divisors (2948218112).

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

2087082088 is a wasteful number, since it uses less digits than its factorization.

2087082088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11139 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 43.

The square root of 2087082088 is about 45684.5935518748. The cubic root of 2087082088 is about 1277.9479832506.

The spelling of 2087082088 in words is "two billion, eighty-seven million, eighty-two thousand, eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 37 49 52 56 74 91 98 104 148 182 196 259 296 364 392 481 518 637 728 962 1036 1274 1813 1924 2072 2548 3367 3626 3848 5096 6734 7252 11069 13468 14504 22138 23569 26936 44276 47138 77483 88552 94276 143897 154966 188552 287794 309932 409553 542381 575588 619864 819106 1007279 1084762 1151176 1638212 2014558 2169524 2866871 3276424 4029116 4339048 5324189 5733742 7050953 8058232 10648378 11467484 14101906 20068097 21296756 22934968 28203812 37269323 40136194 42593512 56407624 74538646 80272388 149077292 160544776 260885261 298154584 521770522 1043541044 2087082088