Search a number
-
+
11928060 = 2234537199
BaseRepresentation
bin101101100000…
…000111111100
3211110000020000
4231200013330
511023144220
61103354300
7203246454
oct55400774
924400200
1011928060
116807801
123bb2990
132618331
141826d64
1510a9390
hexb601fc

11928060 has 120 divisors (see below), whose sum is σ = 38623200. Its totient is φ = 3079296.

The previous prime is 11928043. The next prime is 11928073. The reversal of 11928060 is 6082911.

11928060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59841 + ... + 60039.

It is an arithmetic number, because the mean of its divisors is an integer number (321860).

Almost surely, 211928060 is an apocalyptic number.

11928060 is a gapful number since it is divisible by the number (10) 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 11928060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19311600).

11928060 is an abundant number, since it is smaller than the sum of its proper divisors (26695140).

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

11928060 is a wasteful number, since it uses less digits than its factorization.

11928060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11928060 is about 3453.7023612350. The cubic root of 11928060 is about 228.4844270821.

The spelling of 11928060 in words is "eleven million, nine hundred twenty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 199 222 270 324 333 370 398 405 444 540 555 597 666 740 796 810 995 999 1110 1194 1332 1620 1665 1791 1990 1998 2220 2388 2985 2997 3330 3582 3980 3996 4995 5373 5970 5994 6660 7164 7363 8955 9990 10746 11940 11988 14726 14985 16119 17910 19980 21492 22089 26865 29452 29970 32238 35820 36815 44178 53730 59940 64476 66267 73630 80595 88356 107460 110445 132534 147260 161190 198801 220890 265068 322380 331335 397602 441780 596403 662670 795204 994005 1192806 1325340 1988010 2385612 2982015 3976020 5964030 11928060