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1122011040 = 25354354361
BaseRepresentation
bin100001011100000…
…1000011110100000
32220012021001210110
41002320020132200
54244213323130
6303200331320
736542636133
oct10270103640
92805231713
101122011040
11526389557
12273913b40
1314b5b9577
14a902c21a
1568782ab0
hex42e087a0

1122011040 has 96 divisors (see below), whose sum is σ = 3616595136. Its totient is φ = 292239360.

The previous prime is 1122011029. The next prime is 1122011057. The reversal of 1122011040 is 401102211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6541 + ... + 47820.

It is an arithmetic number, because the mean of its divisors is an integer number (37672866).

Almost surely, 21122011040 is an apocalyptic number.

1122011040 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 1122011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808297568).

1122011040 is an abundant number, since it is smaller than the sum of its proper divisors (2494584096).

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

1122011040 is a wasteful number, since it uses less digits than its factorization.

1122011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54422 (or 54414 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1122011040 is about 33496.4332429589. The cubic root of 1122011040 is about 1039.1200149888.

Adding to 1122011040 its reverse (401102211), we get a palindrome (1523113251).

The spelling of 1122011040 in words is "one billion, one hundred twenty-two million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 54361 108722 163083 217444 271805 326166 434888 543610 652332 815415 869776 1087220 1304664 1630830 1739552 2174440 2337523 2609328 3261660 4348880 4675046 5218656 6523320 7012569 8697760 9350092 11687615 13046640 14025138 18700184 23375230 26093280 28050276 35062845 37400368 46750460 56100552 70125690 74800736 93500920 112201104 140251380 187001840 224402208 280502760 374003680 561005520 1122011040