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6054111920 = 245297335747
BaseRepresentation
bin1011010001101101…
…00110101010110000
3120121220212202021102
411220312212222300
544344323040140
62440424343532
7303012050033
oct55066465260
916556782242
106054111920
11262742a98a
12120b614ba8
1375636395c
1441609701a
15256775e15
hex168da6ab0

6054111920 has 80 divisors (see below), whose sum is σ = 14761064160. Its totient is φ = 2306045952.

The previous prime is 6054111919. The next prime is 6054111941. The reversal of 6054111920 is 291114506.

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

It is a super-2 number, since 2×60541119202 = 73304542279772172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 151487 + ... + 187233.

It is an arithmetic number, because the mean of its divisors is an integer number (184513302).

Almost surely, 26054111920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6054111920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380532080).

6054111920 is an abundant number, since it is smaller than the sum of its proper divisors (8706952240).

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

6054111920 is a wasteful number, since it uses less digits than its factorization.

6054111920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35862 (or 35856 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 6054111920 is about 77808.1738636758. The cubic root of 6054111920 is about 1822.5669129048.

The spelling of 6054111920 in words is "six billion, fifty-four million, one hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 73 80 116 145 146 232 290 292 365 464 580 584 730 1160 1168 1460 2117 2320 2920 4234 5840 8468 10585 16936 21170 33872 35747 42340 71494 84680 142988 169360 178735 285976 357470 571952 714940 1036663 1429880 2073326 2609531 2859760 4146652 5183315 5219062 8293304 10366630 10438124 13047655 16586608 20733260 20876248 26095310 41466520 41752496 52190620 75676399 82933040 104381240 151352798 208762480 302705596 378381995 605411192 756763990 1210822384 1513527980 3027055960 6054111920