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39974060 = 2257377717
BaseRepresentation
bin1001100001111…
…1010010101100
32210012220002202
42120133102230
540213132220
63544441032
7663526310
oct230372254
983186082
1039974060
1120623115
1211479178
138387ab9
145447b40
153799275
hex261f4ac

39974060 has 48 divisors (see below), whose sum is σ = 98543424. Its totient is φ = 13333248.

The previous prime is 39974059. The next prime is 39974063. The reversal of 39974060 is 6047993.

39974060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (39974063) 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, 1322 + ... + 9038.

It is an arithmetic number, because the mean of its divisors is an integer number (2052988).

Almost surely, 239974060 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 39974060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49271712).

39974060 is an abundant number, since it is smaller than the sum of its proper divisors (58569364).

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

39974060 is a wasteful number, since it uses less digits than its factorization.

39974060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770 (or 7768 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 39974060 is about 6322.5042506905. The cubic root of 39974060 is about 341.9212453887.

The spelling of 39974060 in words is "thirty-nine million, nine hundred seventy-four thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 5180 7717 15434 30868 38585 54019 77170 108038 154340 216076 270095 285529 540190 571058 1080380 1142116 1427645 1998703 2855290 3997406 5710580 7994812 9993515 19987030 39974060