Search a number
-
+
11980350 = 2325279337
BaseRepresentation
bin101101101100…
…111000111110
3211112122221200
4231230320332
511031332400
61104440330
7203555064
oct55547076
924478850
1011980350
116843018
1240190a6
132636085
14183c034
1510b9b00
hexb6ce3e

11980350 has 72 divisors (see below), whose sum is σ = 32691360. Its totient is φ = 3144960.

The previous prime is 11980313. The next prime is 11980357. The reversal of 11980350 is 5308911.

It is a super-2 number, since 2×119803502 = 287057572245000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11980357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35382 + ... + 35718.

Almost surely, 211980350 is an apocalyptic number.

11980350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11980350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345680).

11980350 is an abundant number, since it is smaller than the sum of its proper divisors (20711010).

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

11980350 is a wasteful number, since it uses less digits than its factorization.

11980350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 11980350 is about 3461.2642199058. The cubic root of 11980350 is about 228.8178156005.

The spelling of 11980350 in words is "eleven million, nine hundred eighty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 79 90 150 158 225 237 337 395 450 474 674 711 790 1011 1185 1422 1685 1975 2022 2370 3033 3370 3555 3950 5055 5925 6066 7110 8425 10110 11850 15165 16850 17775 25275 26623 30330 35550 50550 53246 75825 79869 133115 151650 159738 239607 266230 399345 479214 665575 798690 1198035 1331150 1996725 2396070 3993450 5990175 11980350