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40032420 = 22352329009
BaseRepresentation
bin1001100010110…
…1100010100100
32210022212011020
42120231202210
540222014140
63550011140
7664161411
oct230554244
983285136
1040032420
1120662a4a
12114a6ab0
1383a852c
145461108
1537ab6d0
hex262d8a4

40032420 has 48 divisors (see below), whose sum is σ = 116968320. Its totient is φ = 10210816.

The previous prime is 40032403. The next prime is 40032451. The reversal of 40032420 is 2423004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40032420.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13125 + ... + 15884.

It is an arithmetic number, because the mean of its divisors is an integer number (2436840).

Almost surely, 240032420 is an apocalyptic number.

It is an amenable number.

40032420 is an abundant number, since it is smaller than the sum of its proper divisors (76935900).

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

40032420 is a wasteful number, since it uses less digits than its factorization.

40032420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29044 (or 29042 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 40032420 is about 6327.1178272575. The cubic root of 40032420 is about 342.0875600847.

Adding to 40032420 its reverse (2423004), we get a palindrome (42455424).

The spelling of 40032420 in words is "forty million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 29009 58018 87027 116036 145045 174054 290090 348108 435135 580180 667207 870270 1334414 1740540 2001621 2668828 3336035 4003242 6672070 8006484 10008105 13344140 20016210 40032420