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1140141220 = 225317179833
BaseRepresentation
bin100001111110101…
…0010110010100100
32221110101011201121
41003331102302210
54313334004340
6305045103324
740153016611
oct10375226244
92843334647
101140141220
11535641a79
122799b7b44
1315229689a
14ab5cb508
156a16494a
hex43f52ca4

1140141220 has 24 divisors (see below), whose sum is σ = 2401862904. Its totient is φ = 454615296.

The previous prime is 1140141169. The next prime is 1140141271. The reversal of 1140141220 is 221410411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1140141169) and next prime (1140141271).

It can be written as a sum of positive squares in 4 ways, for example, as 17623204 + 1122518016 = 4198^2 + 33504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1140141194 and 1140141203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83577 + ... + 96256.

It is an arithmetic number, because the mean of its divisors is an integer number (100077621).

Almost surely, 21140141220 is an apocalyptic number.

1140141220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140141220 is an abundant number, since it is smaller than the sum of its proper divisors (1261721684).

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

1140141220 is a wasteful number, since it uses less digits than its factorization.

1140141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180159 (or 180157 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1140141220 is about 33765.9772552195. The cubic root of 1140141220 is about 1044.6870608937.

Adding to 1140141220 its reverse (221410411), we get a palindrome (1361551631).

The spelling of 1140141220 in words is "one billion, one hundred forty million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 317 634 1268 1585 3170 6340 179833 359666 719332 899165 1798330 3596660 57007061 114014122 228028244 285035305 570070610 1140141220