Search a number
-
+
1119468220 = 2251319211927
BaseRepresentation
bin100001010111001…
…1011101010111100
32220000110212200221
41002232123222330
54243040440340
6303030031124
736512215513
oct10256335274
92800425627
101119468220
11524a02052
12272aa84a4
1314ac09040
14a896967a
156842e44a
hex42b9babc

1119468220 has 72 divisors (see below), whose sum is σ = 2672205984. Its totient is φ = 391554432.

The previous prime is 1119468211. The next prime is 1119468253. The reversal of 1119468220 is 228649111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87897 + ... + 99823.

It is an arithmetic number, because the mean of its divisors is an integer number (37113972).

Almost surely, 21119468220 is an apocalyptic number.

1119468220 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 1119468220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336102992).

1119468220 is an abundant number, since it is smaller than the sum of its proper divisors (1552737764).

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

1119468220 is a wasteful number, since it uses less digits than its factorization.

1119468220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11987 (or 11966 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1119468220 is about 33458.4551346890. The cubic root of 1119468220 is about 1038.3344333674.

The spelling of 1119468220 in words is "one billion, one hundred nineteen million, four hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 361 380 494 722 988 1235 1444 1805 2470 3610 4693 4940 7220 9386 11927 18772 23465 23854 46930 47708 59635 93860 119270 155051 226613 238540 310102 453226 620204 775255 906452 1133065 1550510 2266130 2945969 3101020 4305647 4532260 5891938 8611294 11783876 14729845 17222588 21528235 29459690 43056470 55973411 58919380 86112940 111946822 223893644 279867055 559734110 1119468220