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1122830240 = 25571002527
BaseRepresentation
bin100001011101101…
…0000011110100000
32220020210200112012
41002323100132200
54244421031430
6303230052052
736552620360
oct10273203640
92806720465
101122830240
11526898a84
1227404a028
1314b8153bc
14a91a29a0
1568895695
hex42ed07a0

1122830240 has 48 divisors (see below), whose sum is σ = 3031644672. Its totient is φ = 384969984.

The previous prime is 1122830209. The next prime is 1122830249. The reversal of 1122830240 is 420382211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1122830249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 500144 + ... + 502383.

It is an arithmetic number, because the mean of its divisors is an integer number (63159264).

Almost surely, 21122830240 is an apocalyptic number.

1122830240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122830240 is an abundant number, since it is smaller than the sum of its proper divisors (1908814432).

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

1122830240 is a wasteful number, since it uses less digits than its factorization.

1122830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002549 (or 1002541 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1122830240 is about 33508.6591793823. The cubic root of 1122830240 is about 1039.3728467346.

The spelling of 1122830240 in words is "one billion, one hundred twenty-two million, eight hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1002527 2005054 4010108 5012635 7017689 8020216 10025270 14035378 16040432 20050540 28070756 32080864 35088445 40101080 56141512 70176890 80202160 112283024 140353780 160404320 224566048 280707560 561415120 1122830240