Search a number
-
+
38107080 = 23325119623
BaseRepresentation
bin1001000101011…
…1011111001000
32122201001002100
42101113133020
534223411310
63440433400
7641622234
oct221273710
978631070
1038107080
111a568460
1210918860
137b8308b
1450bd5c4
15352aec0
hex24577c8

38107080 has 96 divisors (see below), whose sum is σ = 135120960. Its totient is φ = 9237120.

The previous prime is 38107057. The next prime is 38107093. The reversal of 38107080 is 8070183.

38107080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×381070802 = 2904299092252800, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 852 + ... + 8771.

It is an arithmetic number, because the mean of its divisors is an integer number (1407510).

Almost surely, 238107080 is an apocalyptic number.

38107080 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 38107080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67560480).

38107080 is an abundant number, since it is smaller than the sum of its proper divisors (97013880).

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

38107080 is a wasteful number, since it uses less digits than its factorization.

38107080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9651 (or 9644 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 38107080 is about 6173.0932278721. The cubic root of 38107080 is about 336.5130342828.

The spelling of 38107080 in words is "thirty-eight million, one hundred seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 9623 19246 28869 38492 48115 57738 76984 86607 96230 105853 115476 144345 173214 192460 211706 230952 288690 317559 346428 384920 423412 433035 529265 577380 635118 692856 846824 866070 952677 1058530 1154760 1270236 1587795 1732140 1905354 2117060 2540472 3175590 3464280 3810708 4234120 4763385 6351180 7621416 9526770 12702360 19053540 38107080