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40130420 = 22511792309
BaseRepresentation
bin1001100100010…
…1011101110100
32210111211120212
42121011131310
540233133140
63552044552
7665050211
oct231053564
983454525
1040130420
112071a640
1211533758
138411015
145488b08
1537ca765
hex2645774

40130420 has 48 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 14401920.

The previous prime is 40130401. The next prime is 40130429. The reversal of 40130420 is 2403104.

40130420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401304202 = 3220901218752800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40130395 and 40130404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130429) 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 15 ways as a sum of consecutive naturals, for example, 16226 + ... + 18534.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 240130420 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 40130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569600).

40130420 is an abundant number, since it is smaller than the sum of its proper divisors (53008780).

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

40130420 is a wasteful number, since it uses less digits than its factorization.

40130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 40130420 is about 6334.8575358882. The cubic root of 40130420 is about 342.3664778701.

Adding to 40130420 its reverse (2403104), we get a palindrome (42533524).

The spelling of 40130420 in words is "forty million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 2309 3476 4345 4618 8690 9236 11545 17380 23090 25399 46180 50798 101596 126995 182411 253990 364822 507980 729644 912055 1824110 2006521 3648220 4013042 8026084 10032605 20065210 40130420