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37014138 = 2337181541
BaseRepresentation
bin1000110100110…
…0101001111010
32120122111212000
42031030221322
533433423023
63401201430
7626420640
oct215145172
976574760
1037014138
11199912a7
1210490276
13788c775
144cb7190
1533b2243
hex234ca7a

37014138 has 64 divisors (see below), whose sum is σ = 94698240. Its totient is φ = 10497600.

The previous prime is 37014137. The next prime is 37014149. The reversal of 37014138 is 83141073.

37014138 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 (27).

It is not an unprimeable number, because it can be changed into a prime (37014137) 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, 68148 + ... + 68688.

It is an arithmetic number, because the mean of its divisors is an integer number (1479660).

Almost surely, 237014138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37014138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47349120).

37014138 is an abundant number, since it is smaller than the sum of its proper divisors (57684102).

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

37014138 is a wasteful number, since it uses less digits than its factorization.

37014138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 37014138 is about 6083.9245557452. The cubic root of 37014138 is about 333.2646220595.

The spelling of 37014138 in words is "thirty-seven million, fourteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 181 189 362 378 541 543 1082 1086 1267 1623 1629 2534 3246 3258 3787 3801 4869 4887 7574 7602 9738 9774 11361 11403 14607 22722 22806 29214 34083 34209 68166 68418 97921 102249 195842 204498 293763 587526 685447 881289 1370894 1762578 2056341 2643867 4112682 5287734 6169023 12338046 18507069 37014138