Search a number
-
+
4147000 = 2353111329
BaseRepresentation
bin1111110100011100111000
321210200121121
433310130320
52030201000
6224515024
750151244
oct17643470
97720547
104147000
112382780
12147ba74
13b22760
1479d424
1556db1a
hex3f4738

4147000 has 128 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1344000.

The previous prime is 4146979. The next prime is 4147001. The reversal of 4147000 is 7414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4147001) 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 31 ways as a sum of consecutive naturals, for example, 142986 + ... + 143014.

Almost surely, 24147000 is an apocalyptic number.

4147000 is a gapful number since it is divisible by the number (40) 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 4147000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

4147000 is an abundant number, since it is smaller than the sum of its proper divisors (7646600).

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

4147000 is a wasteful number, since it uses less digits than its factorization.

4147000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 4147000 is about 2036.4184245876. The cubic root of 4147000 is about 160.6613252894.

The spelling of 4147000 in words is "four million, one hundred forty-seven thousand".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 29 40 44 50 52 55 58 65 88 100 104 110 116 125 130 143 145 200 220 232 250 260 275 286 290 319 325 377 440 500 520 550 572 580 638 650 715 725 754 1000 1100 1144 1160 1276 1300 1375 1430 1450 1508 1595 1625 1885 2200 2552 2600 2750 2860 2900 3016 3190 3250 3575 3625 3770 4147 5500 5720 5800 6380 6500 7150 7250 7540 7975 8294 9425 11000 12760 13000 14300 14500 15080 15950 16588 17875 18850 20735 28600 29000 31900 33176 35750 37700 39875 41470 47125 63800 71500 75400 79750 82940 94250 103675 143000 159500 165880 188500 207350 319000 377000 414700 518375 829400 1036750 2073500 4147000