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38136714 = 23711233797
BaseRepresentation
bin1001000101111…
…0101110001010
32122202112201220
42101132232022
534230333324
63441222510
7642104520
oct221365612
978675656
1038136714
111a588750
1210931a36
137b93705
1450ca310
153534b79
hex245eb8a

38136714 has 128 divisors (see below), whose sum is σ = 102961152. Its totient is φ = 9123840.

The previous prime is 38136701. The next prime is 38136719. The reversal of 38136714 is 41763183.

38136714 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 (33).

It is not an unprimeable number, because it can be changed into a prime (38136719) 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 63 ways as a sum of consecutive naturals, for example, 393114 + ... + 393210.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 238136714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38136714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51480576).

38136714 is an abundant number, since it is smaller than the sum of its proper divisors (64824438).

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

38136714 is a wasteful number, since it uses less digits than its factorization.

38136714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its digits is 12096, while the sum is 33.

The square root of 38136714 is about 6175.4930167558. The cubic root of 38136714 is about 336.6002415542.

Adding to 38136714 its reverse (41763183), we get a palindrome (79899897).

The spelling of 38136714 in words is "thirty-eight million, one hundred thirty-six thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 37 42 46 66 69 74 77 97 111 138 154 161 194 222 231 253 259 291 322 407 462 483 506 518 582 679 759 777 814 851 966 1067 1221 1358 1518 1554 1702 1771 2037 2134 2231 2442 2553 2849 3201 3542 3589 4074 4462 5106 5313 5698 5957 6402 6693 7178 7469 8547 9361 10626 10767 11914 13386 14938 15617 17094 17871 18722 21534 22407 24541 25123 28083 31234 35742 39479 44814 46851 49082 50246 56166 65527 73623 75369 78958 82547 93702 118437 131054 147246 150738 165094 171787 196581 236874 247641 276353 343574 393162 495282 515361 552706 577829 829059 908017 1030722 1155658 1658118 1733487 1816034 2724051 3466974 5448102 6356119 12712238 19068357 38136714