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2995111040 = 27512793659
BaseRepresentation
bin1011001010000101…
…1100010010000000
321201201211101221112
42302201130102000
522113222023130
61213111342452
7134136011105
oct26241342200
97651741845
102995111040
1112a7731289
126b7081a28
1338969216c
14205ad2aac
15127e2a495
hexb285c480

2995111040 has 64 divisors (see below), whose sum is σ = 7167744000. Its totient is φ = 1196780544.

The previous prime is 2995111027. The next prime is 2995111043. The reversal of 2995111040 is 401115992.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2995110988 and 2995111006.

It is not an unprimeable number, because it can be changed into a prime (2995111043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816731 + ... + 820389.

It is an arithmetic number, because the mean of its divisors is an integer number (111996000).

Almost surely, 22995111040 is an apocalyptic number.

2995111040 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 2995111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583872000).

2995111040 is an abundant number, since it is smaller than the sum of its proper divisors (4172632960).

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

2995111040 is a wasteful number, since it uses less digits than its factorization.

2995111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 32.

The square root of 2995111040 is about 54727.6076582925. The cubic root of 2995111040 is about 1441.4656887281.

The spelling of 2995111040 in words is "two billion, nine hundred ninety-five million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1279 2558 3659 5116 6395 7318 10232 12790 14636 18295 20464 25580 29272 36590 40928 51160 58544 73180 81856 102320 117088 146360 163712 204640 234176 292720 409280 468352 585440 818560 1170880 2341760 4679861 9359722 18719444 23399305 37438888 46798610 74877776 93597220 149755552 187194440 299511104 374388880 599022208 748777760 1497555520 2995111040