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38739060 = 223652657
BaseRepresentation
bin1001001111000…
…1110001110100
32200220011000000
42103301301310
534404122220
63502151300
7650163603
oct223616164
980804000
1038739060
111a95a258
1210b82530
138044929
145205a3a
153603390
hex24f1c74

38739060 has 84 divisors (see below), whose sum is σ = 122018148. Its totient is φ = 10326528.

The previous prime is 38739059. The next prime is 38739067. The reversal of 38739060 is 6093783.

38739060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 19607184 + 19131876 = 4428^2 + 4374^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38739067) 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 27 ways as a sum of consecutive naturals, for example, 13252 + ... + 15908.

It is an arithmetic number, because the mean of its divisors is an integer number (1452597).

Almost surely, 238739060 is an apocalyptic number.

38739060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38739060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61009074).

38739060 is an abundant number, since it is smaller than the sum of its proper divisors (83279088).

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

38739060 is a wasteful number, since it uses less digits than its factorization.

38739060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 38739060 is about 6224.0710150190. The cubic root of 38739060 is about 338.3631240940.

The spelling of 38739060 in words is "thirty-eight million, seven hundred thirty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2657 2916 3645 4860 5314 7290 7971 10628 13285 14580 15942 23913 26570 31884 39855 47826 53140 71739 79710 95652 119565 143478 159420 215217 239130 286956 358695 430434 478260 645651 717390 860868 1076085 1291302 1434780 1936953 2152170 2582604 3228255 3873906 4304340 6456510 7747812 9684765 12913020 19369530 38739060