Search a number
-
+
3798790060 = 2251373233859
BaseRepresentation
bin1110001001101100…
…1110111110101100
3100210202002112022011
43202123032332230
530234442240220
61424541131004
7163065116452
oct34233167654
910722075264
103798790060
11167a35521a
128a0259a64
13487032790
142807389d2
1517377c65a
hexe26cefac

3798790060 has 96 divisors (see below), whose sum is σ = 8756354880. Its totient is φ = 1375875072.

The previous prime is 3798790057. The next prime is 3798790117. The reversal of 3798790060 is 600978973.

It is a junction number, because it is equal to n+sod(n) for n = 3798789986 and 3798790013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4421911 + ... + 4422769.

It is an arithmetic number, because the mean of its divisors is an integer number (91212030).

Almost surely, 23798790060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3798790060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378177440).

3798790060 is an abundant number, since it is smaller than the sum of its proper divisors (4957564820).

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

3798790060 is a wasteful number, since it uses less digits than its factorization.

3798790060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The square root of 3798790060 is about 61634.3253390511. The cubic root of 3798790060 is about 1560.3251103037.

The spelling of 3798790060 in words is "three billion, seven hundred ninety-eight million, seven hundred ninety thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 233 260 292 365 466 730 859 932 949 1165 1460 1718 1898 2330 3029 3436 3796 4295 4660 4745 6058 8590 9490 11167 12116 15145 17009 17180 18980 22334 30290 34018 44668 55835 60580 62707 68036 85045 111670 125414 170090 200147 221117 223340 250828 313535 340180 400294 442234 627070 800588 815191 884468 1000735 1105585 1254140 1630382 2001470 2211170 2601911 3260764 4002940 4075955 4422340 5203822 8151910 10407644 13009555 14610731 16303820 26019110 29221462 52038220 58442924 73053655 146107310 189939503 292214620 379879006 759758012 949697515 1899395030 3798790060