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1141052240 = 24517839009
BaseRepresentation
bin100010000000011…
…0001001101010000
32221112002110102002
41010000301031100
54314102132430
6305120413132
740163532626
oct10400611520
92845073362
101141052240
11536104489
1227a1771a8
13152525453
14ab787516
156a294845
hex44031350

1141052240 has 40 divisors (see below), whose sum is σ = 2809005480. Its totient is φ = 429572096.

The previous prime is 1141052233. The next prime is 1141052249. The reversal of 1141052240 is 422501411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 113465104 + 1027587136 = 10652^2 + 32056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141052249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418145 + ... + 420864.

It is an arithmetic number, because the mean of its divisors is an integer number (70225137).

Almost surely, 21141052240 is an apocalyptic number.

1141052240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141052240 is an abundant number, since it is smaller than the sum of its proper divisors (1667953240).

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

1141052240 is a wasteful number, since it uses less digits than its factorization.

1141052240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839039 (or 839033 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1141052240 is about 33779.4647678142. The cubic root of 1141052240 is about 1044.9652362084.

Adding to 1141052240 its reverse (422501411), we get a palindrome (1563553651).

The spelling of 1141052240 in words is "one billion, one hundred forty-one million, fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 839009 1678018 3356036 4195045 6712072 8390090 13424144 14263153 16780180 28526306 33560360 57052612 67120720 71315765 114105224 142631530 228210448 285263060 570526120 1141052240