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3828060 = 2234517139
BaseRepresentation
bin1110100110100101011100
321012111010000
432212211130
51434444220
6214014300
744352345
oct16464534
97174100
103828060
112185095
121347390
13a40532
147190cc
15509390
hex3a695c

3828060 has 120 divisors (see below), whose sum is σ = 12806640. Its totient is φ = 953856.

The previous prime is 3828059. The next prime is 3828061. The reversal of 3828060 is 608283.

It is an interprime number because it is at equal distance from previous prime (3828059) and next prime (3828061).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828061) 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, 27471 + ... + 27609.

It is an arithmetic number, because the mean of its divisors is an integer number (106722).

Almost surely, 23828060 is an apocalyptic number.

3828060 is a gapful number since it is divisible by the number (30) 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 3828060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403320).

3828060 is an abundant number, since it is smaller than the sum of its proper divisors (8978580).

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

3828060 is a wasteful number, since it uses less digits than its factorization.

3828060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3828060 is about 1956.5428694511. The cubic root of 3828060 is about 156.4322332467.

The spelling of 3828060 in words is "three million, eight hundred twenty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 139 153 162 170 180 204 255 270 278 306 324 340 405 417 459 510 540 556 612 695 765 810 834 918 1020 1251 1377 1390 1530 1620 1668 1836 2085 2295 2363 2502 2754 2780 3060 3753 4170 4590 4726 5004 5508 6255 6885 7089 7506 8340 9180 9452 11259 11815 12510 13770 14178 15012 18765 21267 22518 23630 25020 27540 28356 35445 37530 42534 45036 47260 56295 63801 70890 75060 85068 106335 112590 127602 141780 191403 212670 225180 255204 319005 382806 425340 638010 765612 957015 1276020 1914030 3828060