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2111045520 = 243522738749
BaseRepresentation
bin111110111010011…
…1111111110010000
312110010022020001010
41331310333332100
513310411424040
6545251010520
7103212406443
oct17564777620
95403266033
102111045520
119936a2821
124aab99a40
1327848757c
1416052365a
15c54e9e80
hex7dd3ff90

2111045520 has 80 divisors (see below), whose sum is σ = 6573240000. Its totient is φ = 560451072.

The previous prime is 2111045477. The next prime is 2111045527. The reversal of 2111045520 is 255401112.

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

It is not an unprimeable number, because it can be changed into a prime (2111045527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35106 + ... + 73854.

It is an arithmetic number, because the mean of its divisors is an integer number (82165500).

Almost surely, 22111045520 is an apocalyptic number.

2111045520 is a gapful number since it is divisible by the number (20) 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 2111045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286620000).

2111045520 is an abundant number, since it is smaller than the sum of its proper divisors (4462194480).

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

2111045520 is a wasteful number, since it uses less digits than its factorization.

2111045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38992 (or 38986 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 2111045520 is about 45946.1153961899. The cubic root of 2111045520 is about 1282.8204246319.

Adding to 2111045520 its reverse (255401112), we get a palindrome (2366446632).

The spelling of 2111045520 in words is "two billion, one hundred eleven million, forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 681 908 1135 1362 1816 2270 2724 3405 3632 4540 5448 6810 9080 10896 13620 18160 27240 38749 54480 77498 116247 154996 193745 232494 309992 387490 464988 581235 619984 774980 929976 1162470 1549960 1859952 2324940 3099920 4649880 8796023 9299760 17592046 26388069 35184092 43980115 52776138 70368184 87960230 105552276 131940345 140736368 175920460 211104552 263880690 351840920 422209104 527761380 703681840 1055522760 2111045520