Search a number
-
+
1211980 = 225711787
BaseRepresentation
bin100100111111001001100
32021120112011
410213321030
5302240410
641551004
713205320
oct4477114
92246464
101211980
11758640
124a5464
13335863
14237980
1518e18a
hex127e4c

1211980 has 48 divisors (see below), whose sum is σ = 3177216. Its totient is φ = 377280.

The previous prime is 1211933. The next prime is 1211983. The reversal of 1211980 is 891121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1211983) 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 15 ways as a sum of consecutive naturals, for example, 1147 + ... + 1933.

It is an arithmetic number, because the mean of its divisors is an integer number (66192).

21211980 is an apocalyptic number.

1211980 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 1211980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588608).

1211980 is an abundant number, since it is smaller than the sum of its proper divisors (1965236).

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

1211980 is a wasteful number, since it uses less digits than its factorization.

1211980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 1211980 is about 1100.8996321191. The cubic root of 1211980 is about 106.6183157600.

The spelling of 1211980 in words is "one million, two hundred eleven thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 787 1540 1574 3148 3935 5509 7870 8657 11018 15740 17314 22036 27545 34628 43285 55090 60599 86570 110180 121198 173140 242396 302995 605990 1211980