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5754382980 = 22354314914969
BaseRepresentation
bin1010101101111110…
…01110101010000100
3112212000212221110120
411112333032222010
543241110223410
62351000221540
7262412306523
oct52677165204
915760787416
105754382980
112493221115
12114716a8b0
1370922c358
143c83544ba
1523a2bc570
hex156fcea84

5754382980 has 96 divisors (see below), whose sum is σ = 16598736000. Its totient is φ = 1488657408.

The previous prime is 5754382979. The next prime is 5754382993. The reversal of 5754382980 is 892834575.

It is a super-3 number, since 3×57543829803 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376936 + ... + 391904.

It is an arithmetic number, because the mean of its divisors is an integer number (172903500).

Almost surely, 25754382980 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 5754382980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299368000).

5754382980 is an abundant number, since it is smaller than the sum of its proper divisors (10844353020).

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

5754382980 is a wasteful number, since it uses less digits than its factorization.

5754382980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15173 (or 15171 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The square root of 5754382980 is about 75857.6494494787. The cubic root of 5754382980 is about 1791.9790206841.

The spelling of 5754382980 in words is "five billion, seven hundred fifty-four million, three hundred eighty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 149 172 215 258 298 430 447 516 596 645 745 860 894 1290 1490 1788 2235 2580 2980 4470 6407 8940 12814 14969 19221 25628 29938 32035 38442 44907 59876 64070 74845 76884 89814 96105 128140 149690 179628 192210 224535 299380 384420 449070 643667 898140 1287334 1931001 2230381 2574668 3218335 3862002 4460762 6436670 6691143 7724004 8921524 9655005 11151905 12873340 13382286 19310010 22303810 26764572 33455715 38620020 44607620 66911430 95906383 133822860 191812766 287719149 383625532 479531915 575438298 959063830 1150876596 1438595745 1918127660 2877191490 5754382980