Search a number
-
+
2005960088 = 2311232813527
BaseRepresentation
bin111011110010000…
…1000010110011000
312011210120022221002
41313210020112120
513102011210323
6531014404132
7100465244066
oct16744102630
95153508832
102005960088
1193a348560
1247b960648
1325c783142
141505ab036
15bb18d828
hex77908598

2005960088 has 64 divisors (see below), whose sum is σ = 4297950720. Its totient is φ = 868806400.

The previous prime is 2005960087. The next prime is 2005960109. The reversal of 2005960088 is 8800695002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005960081) 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, 566981 + ... + 570507.

It is an arithmetic number, because the mean of its divisors is an integer number (67155480).

Almost surely, 22005960088 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 2005960088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148975360).

2005960088 is an abundant number, since it is smaller than the sum of its proper divisors (2291990632).

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

2005960088 is a wasteful number, since it uses less digits than its factorization.

2005960088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 2005960088 is about 44787.9457890178. The cubic root of 2005960088 is about 1261.1713487893.

The spelling of 2005960088 in words is "two billion, five million, nine hundred sixty thousand, eighty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 281 506 562 1012 1124 2024 2248 3091 3527 6182 6463 7054 12364 12926 14108 24728 25852 28216 38797 51704 71093 77594 81121 142186 155188 162242 284372 310376 324484 568744 648968 892331 991087 1784662 1982174 3569324 3964348 7138648 7928696 10901957 21803914 22795001 43607828 45590002 87215656 91180004 182360008 250745011 501490022 1002980044 2005960088