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6065940 = 22351719313
BaseRepresentation
bin10111001000111100010100
3102102011220110
4113020330110
53023102230
6334003020
7102362646
oct27107424
912364813
106065940
113473481
122046470
13134501a
14b3c896
157ec4b0
hex5c8f14

6065940 has 96 divisors (see below), whose sum is σ = 18990720. Its totient is φ = 1437696.

The previous prime is 6065929. The next prime is 6065963. The reversal of 6065940 is 495606.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6065898 and 6065907.

It is a congruent number.

It is an unprimeable number.

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, 19224 + ... + 19536.

It is an arithmetic number, because the mean of its divisors is an integer number (197820).

Almost surely, 26065940 is an apocalyptic number.

6065940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6065940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9495360).

6065940 is an abundant number, since it is smaller than the sum of its proper divisors (12924780).

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

6065940 is a wasteful number, since it uses less digits than its factorization.

6065940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6065940 is about 2462.9129095443. The cubic root of 6065940 is about 182.3753073299.

The spelling of 6065940 in words is "six million, sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 313 323 340 380 510 570 626 646 939 969 1020 1140 1252 1292 1565 1615 1878 1938 3130 3230 3756 3876 4695 4845 5321 5947 6260 6460 9390 9690 10642 11894 15963 17841 18780 19380 21284 23788 26605 29735 31926 35682 53210 59470 63852 71364 79815 89205 101099 106420 118940 159630 178410 202198 303297 319260 356820 404396 505495 606594 1010990 1213188 1516485 2021980 3032970 6065940