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5335960 = 2357171959
BaseRepresentation
bin10100010110101110011000
3101001002120011
4110112232120
52331222320
6310211304
763232510
oct24265630
911032504
105335960
113014a93
121953b34
13114a996
149cc840
1570605a
hex516b98

5335960 has 128 divisors (see below), whose sum is σ = 15552000. Its totient is φ = 1603584.

The previous prime is 5335919. The next prime is 5335961. The reversal of 5335960 is 695335.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5335961) 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 31 ways as a sum of consecutive naturals, for example, 90411 + ... + 90469.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

Almost surely, 25335960 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 5335960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776000).

5335960 is an abundant number, since it is smaller than the sum of its proper divisors (10216040).

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

5335960 is a wasteful number, since it uses less digits than its factorization.

5335960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 31.

The square root of 5335960 is about 2309.9696967709. The cubic root of 5335960 is about 174.7447707984.

It can be divided in two parts, 5335 and 960, that multiplied together give a triangular number (5121600 = T3200).

The spelling of 5335960 in words is "five million, three hundred thirty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 19 20 28 34 35 38 40 56 59 68 70 76 85 95 118 119 133 136 140 152 170 190 236 238 266 280 295 323 340 380 413 472 476 532 590 595 646 665 680 760 826 952 1003 1064 1121 1180 1190 1292 1330 1615 1652 2006 2065 2242 2261 2360 2380 2584 2660 3230 3304 4012 4130 4484 4522 4760 5015 5320 5605 6460 7021 7847 8024 8260 8968 9044 10030 11210 11305 12920 14042 15694 16520 18088 19057 20060 22420 22610 28084 31388 35105 38114 39235 40120 44840 45220 56168 62776 70210 76228 78470 90440 95285 133399 140420 152456 156940 190570 266798 280840 313880 381140 533596 666995 762280 1067192 1333990 2667980 5335960