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2940005166 = 237196160397
BaseRepresentation
bin1010111100111100…
…1110101100101110
321120220010201220020
42233033032230232
522010120131131
61203422303010
7132566426430
oct25717165456
97526121806
102940005166
11127961343a
126a0727a66
1337b139a37
141dc66a650
15123192996
hexaf3ceb2e

2940005166 has 64 divisors (see below), whose sum is σ = 7189777920. Its totient is φ = 782732160.

The previous prime is 2940005141. The next prime is 2940005171. The reversal of 2940005166 is 6615000492.

It is a super-2 number, since 2×29400051662 = 17287260752213375112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18480 + ... + 78876.

It is an arithmetic number, because the mean of its divisors is an integer number (112340280).

Almost surely, 22940005166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2940005166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594888960).

2940005166 is an abundant number, since it is smaller than the sum of its proper divisors (4249772754).

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

2940005166 is a wasteful number, since it uses less digits than its factorization.

2940005166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60489.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2940005166 is about 54221.8144845781. The cubic root of 2940005166 is about 1432.5705904074.

The spelling of 2940005166 in words is "two billion, nine hundred forty million, five thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 61 114 122 133 183 266 366 399 427 798 854 1159 1281 2318 2562 3477 6954 8113 16226 24339 48678 60397 120794 181191 362382 422779 845558 1147543 1268337 2295086 2536674 3442629 3684217 6885258 7368434 8032801 11052651 16065602 22105302 24098403 25789519 48196806 51579038 70000123 77368557 140000246 154737114 210000369 420000738 490000861 980001722 1470002583 2940005166