Search a number
-
+
38113740 = 2234573361
BaseRepresentation
bin1001000101100…
…1000111001100
32122201101020000
42101121013030
534224114430
63440524300
7641650530
oct221310714
978641200
1038113740
111a572465
1210920690
137b86112
1450c1bc0
15352ce60
hex24591cc

38113740 has 120 divisors (see below), whose sum is σ = 136685472. Its totient is φ = 8709120.

The previous prime is 38113739. The next prime is 38113741. The reversal of 38113740 is 4731183.

It is an interprime number because it is at equal distance from previous prime (38113739) and next prime (38113741).

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 (38113741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9660 + ... + 13020.

Almost surely, 238113740 is an apocalyptic number.

38113740 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 38113740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68342736).

38113740 is an abundant number, since it is smaller than the sum of its proper divisors (98571732).

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

38113740 is a wasteful number, since it uses less digits than its factorization.

38113740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3378 counting only the distinct ones).

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

The square root of 38113740 is about 6173.6326421322. The cubic root of 38113740 is about 336.5326373439.

The spelling of 38113740 in words is "thirty-eight million, one hundred thirteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3361 3780 5670 6722 10083 11340 13444 16805 20166 23527 30249 33610 40332 47054 50415 60498 67220 70581 90747 94108 100830 117635 120996 141162 151245 181494 201660 211743 235270 272241 282324 302490 352905 362988 423486 453735 470540 544482 604980 635229 705810 846972 907470 1058715 1088964 1270458 1361205 1411620 1814940 1905687 2117430 2540916 2722410 3176145 3811374 4234860 5444820 6352290 7622748 9528435 12704580 19056870 38113740