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37412420 = 22510118521
BaseRepresentation
bin1000111010110…
…1111001000100
32121101202012012
42032231321010
534034144140
63413513352
7633000053
oct216557104
977352165
1037412420
111a133561
1210642858
13799bb36
144d7c39a
153440265
hex23ade44

37412420 has 24 divisors (see below), whose sum is σ = 79348248. Its totient is φ = 14816000.

The previous prime is 37412411. The next prime is 37412429. The reversal of 37412420 is 2421473.

37412420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (37412411) and next prime (37412429).

It can be written as a sum of positive squares in 4 ways, for example, as 25482304 + 11930116 = 5048^2 + 3454^2 .

It is not an unprimeable number, because it can be changed into a prime (37412429) 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 7 ways as a sum of consecutive naturals, for example, 7241 + ... + 11280.

It is an arithmetic number, because the mean of its divisors is an integer number (3306177).

Almost surely, 237412420 is an apocalyptic number.

It is an amenable number.

37412420 is an abundant number, since it is smaller than the sum of its proper divisors (41935828).

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

37412420 is a wasteful number, since it uses less digits than its factorization.

37412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18631 (or 18629 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 37412420 is about 6116.5692998608. The cubic root of 37412420 is about 334.4556988675.

Adding to 37412420 its reverse (2421473), we get a palindrome (39833893).

The spelling of 37412420 in words is "thirty-seven million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 18521 37042 74084 92605 185210 370420 1870621 3741242 7482484 9353105 18706210 37412420