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6005340 = 2234511337
BaseRepresentation
bin10110111010001001011100
3102022002210000
4112322021130
53014132330
6332414300
7102021165
oct26721134
912262700
106005340
1134319a0
122017390
131323573
14b2476c
157d9560
hex5ba25c

6005340 has 120 divisors (see below), whose sum is σ = 20612592. Its totient is φ = 1451520.

The previous prime is 6005339. The next prime is 6005341. The reversal of 6005340 is 435006.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6005339) and next prime (6005341).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17652 + ... + 17988.

Almost surely, 26005340 is an apocalyptic number.

6005340 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 6005340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10306296).

6005340 is an abundant number, since it is smaller than the sum of its proper divisors (14607252).

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

6005340 is a wasteful number, since it uses less digits than its factorization.

6005340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 6005340 is about 2450.5795232965. The cubic root of 6005340 is about 181.7659512094.

The spelling of 6005340 in words is "six million, five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 337 396 405 495 540 594 660 674 810 891 990 1011 1188 1348 1485 1620 1685 1782 1980 2022 2970 3033 3370 3564 3707 4044 4455 5055 5940 6066 6740 7414 8910 9099 10110 11121 12132 14828 15165 17820 18198 18535 20220 22242 27297 30330 33363 36396 37070 44484 45495 54594 55605 60660 66726 74140 90990 100089 109188 111210 133452 136485 166815 181980 200178 222420 272970 300267 333630 400356 500445 545940 600534 667260 1000890 1201068 1501335 2001780 3002670 6005340