Search a number
-
+
38007060 = 22357136961
BaseRepresentation
bin1001000011111…
…1000100010100
32122111221212220
42100333010110
534212211220
63434342340
7641024520
oct220770424
978457786
1038007060
111a4aa2a3
121088a9b0
137b496b0
145094d80
15350b540
hex243f114

38007060 has 96 divisors (see below), whose sum is σ = 130996992. Its totient is φ = 8017920.

The previous prime is 38007043. The next prime is 38007061. The reversal of 38007060 is 6070083.

It is a self number, because there is not a number n which added to its sum of digits gives 38007060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38007061) 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 31 ways as a sum of consecutive naturals, for example, 1980 + ... + 8940.

It is an arithmetic number, because the mean of its divisors is an integer number (1364552).

Almost surely, 238007060 is an apocalyptic number.

38007060 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 38007060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65498496).

38007060 is an abundant number, since it is smaller than the sum of its proper divisors (92989932).

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

38007060 is a wasteful number, since it uses less digits than its factorization.

38007060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6991 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 38007060 is about 6164.9866179903. The cubic root of 38007060 is about 336.2183600453.

The spelling of 38007060 in words is "thirty-eight million, seven thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 6961 13922 20883 27844 34805 41766 48727 69610 83532 90493 97454 104415 139220 146181 180986 194908 208830 243635 271479 292362 361972 417660 452465 487270 542958 584724 633451 730905 904930 974540 1085916 1266902 1357395 1461810 1809860 1900353 2533804 2714790 2923620 3167255 3800706 5429580 6334510 7601412 9501765 12669020 19003530 38007060