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5983481920 = 265132934909
BaseRepresentation
bin1011001001010010…
…01011000001000000
3120102222222101010111
411210221023001000
544223232410140
62425422441104
7301163520463
oct54451130100
916388871114
105983481920
1125a0579589
1211aba33194
13744834460
1440a94d2da
152504737ea
hex164a4b040

5983481920 has 112 divisors (see below), whose sum is σ = 15399684720. Its totient is φ = 2201296896.

The previous prime is 5983481909. The next prime is 5983481923. The reversal of 5983481920 is 291843895.

It can be written as a sum of positive squares in 8 ways, for example, as 739404864 + 5244077056 = 27192^2 + 72416^2 .

It is not an unprimeable number, because it can be changed into a prime (5983481923) by changing a digit.

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, 1216426 + ... + 1221334.

It is an arithmetic number, because the mean of its divisors is an integer number (137497185).

Almost surely, 25983481920 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 5983481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7699842360).

5983481920 is an abundant number, since it is smaller than the sum of its proper divisors (9416202800).

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

5983481920 is a wasteful number, since it uses less digits than its factorization.

5983481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 5983481920 is about 77352.9696908916. The cubic root of 5983481920 is about 1815.4515411799.

The spelling of 5983481920 in words is "five billion, nine hundred eighty-three million, four hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 293 320 416 520 586 832 1040 1172 1465 2080 2344 2930 3809 4160 4688 4909 5860 7618 9376 9818 11720 15236 18752 19045 19636 23440 24545 30472 38090 39272 46880 49090 60944 63817 76180 78544 93760 98180 121888 127634 152360 157088 196360 243776 255268 304720 314176 319085 392720 510536 609440 638170 785440 1021072 1218880 1276340 1438337 1570880 2042144 2552680 2876674 4084288 5105360 5753348 7191685 10210720 11506696 14383370 18698381 20421440 23013392 28766740 37396762 46026784 57533480 74793524 92053568 93491905 115066960 149587048 186983810 230133920 299174096 373967620 460267840 598348192 747935240 1196696384 1495870480 2991740960 5983481920