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5335020 = 22325107277
BaseRepresentation
bin10100010110011111101100
3101001001021100
4110112133230
52331210040
6310203100
763226665
oct24263754
911031240
105335020
113014309
121953490
13114a422
149cc36c
15705b30
hex5167ec

5335020 has 72 divisors (see below), whose sum is σ = 16393104. Its totient is φ = 1404288.

The previous prime is 5335003. The next prime is 5335021. The reversal of 5335020 is 205335.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5334984 and 5335002.

It is not an unprimeable number, because it can be changed into a prime (5335021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19122 + ... + 19398.

It is an arithmetic number, because the mean of its divisors is an integer number (227682).

Almost surely, 25335020 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 5335020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196552).

5335020 is an abundant number, since it is smaller than the sum of its proper divisors (11058084).

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

5335020 is a wasteful number, since it uses less digits than its factorization.

5335020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 5335020 is about 2309.7662219368. The cubic root of 5335020 is about 174.7345089942.

The spelling of 5335020 in words is "five million, three hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 277 321 428 535 554 642 831 963 1070 1108 1284 1385 1605 1662 1926 2140 2493 2770 3210 3324 3852 4155 4815 4986 5540 6420 8310 9630 9972 12465 16620 19260 24930 29639 49860 59278 88917 118556 148195 177834 266751 296390 355668 444585 533502 592780 889170 1067004 1333755 1778340 2667510 5335020