Search a number
-
+
1127402220 = 223575350647
BaseRepresentation
bin100001100110010…
…1100101011101100
32220120101222002210
41003030230223230
54302103332340
6303512050420
736636521640
oct10314545354
92816358083
101127402220
11529430a7a
12275693a10
1314c756409
14a9a32c20
1568e9a180
hex4332caec

1127402220 has 96 divisors (see below), whose sum is σ = 3675829248. Its totient is φ = 252824832.

The previous prime is 1127402161. The next prime is 1127402303. The reversal of 1127402220 is 222047211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3064 + ... + 47583.

It is an arithmetic number, because the mean of its divisors is an integer number (38289888).

Almost surely, 21127402220 is an apocalyptic number.

1127402220 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 1127402220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837914624).

1127402220 is an abundant number, since it is smaller than the sum of its proper divisors (2548427028).

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

1127402220 is a wasteful number, since it uses less digits than its factorization.

1127402220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50719 (or 50717 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1127402220 is about 33576.8107478956. The cubic root of 1127402220 is about 1040.7816547251.

Adding to 1127402220 its reverse (222047211), we get a palindrome (1349449431).

It can be divided in two parts, 112740 and 2220, that added together give a triangular number (114960 = T479).

The spelling of 1127402220 in words is "one billion, one hundred twenty-seven million, four hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2226 3180 3710 4452 5565 7420 11130 22260 50647 101294 151941 202588 253235 303882 354529 506470 607764 709058 759705 1012940 1063587 1418116 1519410 1772645 2127174 2684291 3038820 3545290 4254348 5317935 5368582 7090580 8052873 10635870 10737164 13421455 16105746 18790037 21271740 26842910 32211492 37580074 40264365 53685820 56370111 75160148 80528730 93950185 112740222 161057460 187900370 225480444 281850555 375800740 563701110 1127402220