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1130221040 = 245137314887
BaseRepresentation
bin100001101011101…
…1100110111110000
32220202201011210112
41003113130313300
54303314033130
6304052320452
740002502034
oct10327346760
92822634715
101130221040
1152aa86883
12276613128
13150202460
14aa1681c4
1569355495
hex435dcdf0

1130221040 has 80 divisors (see below), whose sum is σ = 2868858048. Its totient is φ = 411568128.

The previous prime is 1130221009. The next prime is 1130221049. The reversal of 1130221040 is 401220311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130221049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68477 + ... + 83363.

Almost surely, 21130221040 is an apocalyptic number.

1130221040 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 1130221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434429024).

1130221040 is an abundant number, since it is smaller than the sum of its proper divisors (1738637008).

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

1130221040 is a wasteful number, since it uses less digits than its factorization.

1130221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14986 (or 14980 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1130221040 is about 33618.7602388904. The cubic root of 1130221040 is about 1041.6483476103.

Adding to 1130221040 its reverse (401220311), we get a palindrome (1531441351).

The spelling of 1130221040 in words is "one billion, one hundred thirty million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 130 146 208 260 292 365 520 584 730 949 1040 1168 1460 1898 2920 3796 4745 5840 7592 9490 14887 15184 18980 29774 37960 59548 74435 75920 119096 148870 193531 238192 297740 387062 595480 774124 967655 1086751 1190960 1548248 1935310 2173502 3096496 3870620 4347004 5433755 7741240 8694008 10867510 14127763 15482480 17388016 21735020 28255526 43470040 56511052 70638815 86940080 113022104 141277630 226044208 282555260 565110520 1130221040