Search a number
-
+
11319780 = 2235375099
BaseRepresentation
bin101011001011…
…100111100100
3210022002211010
4223023213210
510344213110
61042342220
7165134163
oct53134744
923262733
1011319780
11643179a
12395a970
1324644c4
1417093da
15ed9020
hexacb9e4

11319780 has 48 divisors (see below), whose sum is σ = 32558400. Its totient is φ = 2936448.

The previous prime is 11319779. The next prime is 11319811. The reversal of 11319780 is 8791311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330 + ... + 4769.

It is an arithmetic number, because the mean of its divisors is an integer number (678300).

Almost surely, 211319780 is an apocalyptic number.

11319780 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 11319780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16279200).

11319780 is an abundant number, since it is smaller than the sum of its proper divisors (21238620).

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

11319780 is a wasteful number, since it uses less digits than its factorization.

11319780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5148 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The square root of 11319780 is about 3364.4880739869. The cubic root of 11319780 is about 224.5325604267.

The spelling of 11319780 in words is "eleven million, three hundred nineteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 5099 10198 15297 20396 25495 30594 50990 61188 76485 101980 152970 188663 305940 377326 565989 754652 943315 1131978 1886630 2263956 2829945 3773260 5659890 11319780