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1122361240 = 2357111328031
BaseRepresentation
bin100001011100101…
…1101111110011000
32220012220212011211
41002321131332120
54244311024430
6303212032504
736545625130
oct10271357630
92805825154
101122361240
115265a8680
12273a62734
1314b6acaa0
14a90bdac0
156880172a
hex42e5df98

1122361240 has 128 divisors (see below), whose sum is σ = 3390750720. Its totient is φ = 322905600.

The previous prime is 1122361237. The next prime is 1122361243. The reversal of 1122361240 is 421632211.

It is an interprime number because it is at equal distance from previous prime (1122361237) and next prime (1122361243).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122361243) 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 31 ways as a sum of consecutive naturals, for example, 26025 + ... + 54055.

It is an arithmetic number, because the mean of its divisors is an integer number (26490240).

Almost surely, 21122361240 is an apocalyptic number.

1122361240 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 1122361240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695375360).

1122361240 is an abundant number, since it is smaller than the sum of its proper divisors (2268389480).

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

1122361240 is a wasteful number, since it uses less digits than its factorization.

1122361240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28073 (or 28069 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1122361240 is about 33501.6602573664. The cubic root of 1122361240 is about 1039.2281131456.

Adding to 1122361240 its reverse (421632211), we get a palindrome (1543993451).

The spelling of 1122361240 in words is "one billion, one hundred twenty-two million, three hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 28031 40040 56062 112124 140155 196217 224248 280310 308341 364403 392434 560620 616682 728806 784868 981085 1121240 1233364 1457612 1541705 1569736 1822015 1962170 2158387 2466728 2550821 2915224 3083410 3644030 3924340 4008433 4316774 5101642 6166820 7288060 7848680 8016866 8633548 10203284 10791935 12333640 12754105 14576120 16033732 17267096 20042165 20406568 21583870 25508210 28059031 32067464 40084330 43167740 51016420 56118062 80168660 86335480 102032840 112236124 140295155 160337320 224472248 280590310 561180620 1122361240