Search a number
-
+
1113677220 = 223547794999
BaseRepresentation
bin100001001100001…
…0101110110100100
32212121120122221110
41002120111312210
54240100132340
6302301545020
736412046235
oct10230256644
92777518843
101113677220
115217071a7
12270b75170
1314995c206
14a7c9d08c
1567b88680
hex42615da4

1113677220 has 96 divisors (see below), whose sum is σ = 3225600000. Its totient is φ = 286925184.

The previous prime is 1113677197. The next prime is 1113677233. The reversal of 1113677220 is 227763111.

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 31 ways as a sum of consecutive naturals, for example, 220281 + ... + 225279.

It is an arithmetic number, because the mean of its divisors is an integer number (33600000).

Almost surely, 21113677220 is an apocalyptic number.

1113677220 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 1113677220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612800000).

1113677220 is an abundant number, since it is smaller than the sum of its proper divisors (2111922780).

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

1113677220 is a wasteful number, since it uses less digits than its factorization.

1113677220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 1113677220 is about 33371.8027682054. The cubic root of 1113677220 is about 1036.5409053071.

The spelling of 1113677220 in words is "one billion, one hundred thirteen million, six hundred seventy-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 79 94 141 158 188 235 237 282 316 395 470 474 564 705 790 940 948 1185 1410 1580 2370 2820 3713 4740 4999 7426 9998 11139 14852 14997 18565 19996 22278 24995 29994 37130 44556 49990 55695 59988 74260 74985 99980 111390 149970 222780 234953 299940 394921 469906 704859 789842 939812 1174765 1184763 1409718 1579684 1974605 2349530 2369526 2819436 3524295 3949210 4699060 4739052 5923815 7048590 7898420 11847630 14097180 18561287 23695260 37122574 55683861 74245148 92806435 111367722 185612870 222735444 278419305 371225740 556838610 1113677220