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2940413000 = 235371014159
BaseRepresentation
bin1010111101000011…
…0010010001001000
321120220220110100012
42233100302101020
522010221204000
61203435131052
7132603045440
oct25720622110
97526813305
102940413000
111279871898
126a08a3a88
1337b250565
141dc735120
15123223735
hexaf432448

2940413000 has 128 divisors (see below), whose sum is σ = 7943270400. Its totient is φ = 997920000.

The previous prime is 2940412967. The next prime is 2940413009. The reversal of 2940413000 is 3140492.

It is a super-2 number, since 2×29404130002 = 17292057221138000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2940413009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704921 + ... + 709079.

It is an arithmetic number, because the mean of its divisors is an integer number (62056800).

Almost surely, 22940413000 is an apocalyptic number.

2940413000 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 2940413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971635200).

2940413000 is an abundant number, since it is smaller than the sum of its proper divisors (5002857400).

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

2940413000 is a wasteful number, since it uses less digits than its factorization.

2940413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2940413000 is about 54225.5751467884. The cubic root of 2940413000 is about 1432.6368288376.

Adding to 2940413000 its reverse (3140492), we get a palindrome (2943553492).

The spelling of 2940413000 in words is "two billion, nine hundred forty million, four hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 125 140 175 200 202 250 280 350 404 500 505 700 707 808 875 1000 1010 1400 1414 1750 2020 2525 2828 3500 3535 4040 4159 5050 5656 7000 7070 8318 10100 12625 14140 16636 17675 20200 20795 25250 28280 29113 33272 35350 41590 50500 58226 70700 83180 88375 101000 103975 116452 141400 145565 166360 176750 207950 232904 291130 353500 415900 420059 519875 582260 707000 727825 831800 840118 1039750 1164520 1455650 1680236 2079500 2100295 2911300 2940413 3360472 3639125 4159000 4200590 5822600 5880826 7278250 8401180 10501475 11761652 14556500 14702065 16802360 21002950 23523304 29113000 29404130 42005900 52507375 58808260 73510325 84011800 105014750 117616520 147020650 210029500 294041300 367551625 420059000 588082600 735103250 1470206500 2940413000