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37483140 = 22354571367
BaseRepresentation
bin1000111011111…
…1001010000100
32121112100012110
42032333022010
534043430030
63415221020
7633413202
oct216771204
977470173
1037483140
111a181702
1210677770
1379c5096
144d9a072
1534561b0
hex23bf284

37483140 has 48 divisors (see below), whose sum is σ = 105259392. Its totient is φ = 9966336.

The previous prime is 37483133. The next prime is 37483141. The reversal of 37483140 is 4138473.

37483140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 37483098 and 37483107.

It is not an unprimeable number, because it can be changed into a prime (37483141) 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, 26737 + ... + 28103.

It is an arithmetic number, because the mean of its divisors is an integer number (2192904).

Almost surely, 237483140 is an apocalyptic number.

37483140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37483140 is an abundant number, since it is smaller than the sum of its proper divisors (67776252).

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

37483140 is a wasteful number, since it uses less digits than its factorization.

37483140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 37483140 is about 6122.3475889564. The cubic root of 37483140 is about 334.6663046791. Note that the first 3 decimals are identical.

The spelling of 37483140 in words is "thirty-seven million, four hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 457 914 1367 1371 1828 2285 2734 2742 4101 4570 5468 5484 6835 6855 8202 9140 13670 13710 16404 20505 27340 27420 41010 82020 624719 1249438 1874157 2498876 3123595 3748314 6247190 7496628 9370785 12494380 18741570 37483140