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1111405040 = 245411672029
BaseRepresentation
bin100001000111110…
…1011000111110000
32212110022020002122
41002033223013300
54234004430130
6302141133412
736353533634
oct10217530760
92773266078
101111405040
115203a5069
1227025a268
13149344c25
14a786adc4
156788a2e5
hex423eb1f0

1111405040 has 80 divisors (see below), whose sum is σ = 2664204480. Its totient is φ = 430909440.

The previous prime is 1111404997. The next prime is 1111405079. The reversal of 1111405040 is 405041111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546746 + ... + 548774.

It is an arithmetic number, because the mean of its divisors is an integer number (33302556).

Almost surely, 21111405040 is an apocalyptic number.

1111405040 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 1111405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332102240).

1111405040 is an abundant number, since it is smaller than the sum of its proper divisors (1552799440).

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

1111405040 is a wasteful number, since it uses less digits than its factorization.

1111405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1111405040 is about 33337.7419751248. The cubic root of 1111405040 is about 1035.8354911389.

Adding to 1111405040 its reverse (405041111), we get a palindrome (1516446151).

The spelling of 1111405040 in words is "one billion, one hundred eleven million, four hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 167 205 328 334 410 656 668 820 835 1336 1640 1670 2029 2672 3280 3340 4058 6680 6847 8116 10145 13360 13694 16232 20290 27388 32464 34235 40580 54776 68470 81160 83189 109552 136940 162320 166378 273880 332756 338843 415945 547760 665512 677686 831890 1331024 1355372 1663780 1694215 2710744 3327560 3388430 5421488 6655120 6776860 13553720 13892563 27107440 27785126 55570252 69462815 111140504 138925630 222281008 277851260 555702520 1111405040