Search a number
-
+
5980744 = 2372111973
BaseRepresentation
bin10110110100001001001000
3102020212001001
4112310021020
53012340434
6332104344
7101556400
oct26641110
912225031
105980744
113415470
1220050b4
131315303
14b19800
157d2114
hex5b4248

5980744 has 96 divisors (see below), whose sum is σ = 15184800. Its totient is φ = 2177280.

The previous prime is 5980693. The next prime is 5980747. The reversal of 5980744 is 4470895.

5980744 = T127 + T128 + ... + T335.

It is not an unprimeable number, because it can be changed into a prime (5980747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81892 + ... + 81964.

It is an arithmetic number, because the mean of its divisors is an integer number (158175).

Almost surely, 25980744 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 5980744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7592400).

5980744 is an abundant number, since it is smaller than the sum of its proper divisors (9204056).

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

5980744 is a wasteful number, since it uses less digits than its factorization.

5980744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 5980744 is about 2445.5559695088. Note that the first 3 decimals coincide. The cubic root of 5980744 is about 181.5174594329.

It can be divided in two parts, 5980 and 744, that added together give a square (6724 = 822).

The spelling of 5980744 in words is "five million, nine hundred eighty thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 49 56 73 76 77 88 98 133 146 152 154 196 209 266 292 308 392 418 511 532 539 584 616 803 836 931 1022 1064 1078 1387 1463 1606 1672 1862 2044 2156 2774 2926 3212 3577 3724 4088 4312 5548 5621 5852 6424 7154 7448 9709 10241 11096 11242 11704 14308 15257 19418 20482 22484 28616 30514 38836 39347 40964 44968 61028 67963 77672 78694 81928 106799 122056 135926 157388 213598 271852 314776 427196 543704 747593 854392 1495186 2990372 5980744