Search a number
-
+
1801128 = 233771151
BaseRepresentation
bin110110111101110101000
310101111200110
412313232220
5430114003
6102334320
721211050
oct6675650
93344613
101801128
11102023a
1272a3a0
134b0a74
1434c560
15258a03
hex1b7ba8

1801128 has 64 divisors (see below), whose sum is σ = 5253120. Its totient is φ = 504000.

The previous prime is 1801117. The next prime is 1801187. The reversal of 1801128 is 8211081.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11853 + ... + 12003.

It is an arithmetic number, because the mean of its divisors is an integer number (82080).

21801128 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 1801128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626560).

1801128 is an abundant number, since it is smaller than the sum of its proper divisors (3451992).

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

1801128 is a wasteful number, since it uses less digits than its factorization.

1801128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 1801128 is about 1342.0611014406. The cubic root of 1801128 is about 121.6694446938.

The spelling of 1801128 in words is "one million, eight hundred one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 151 168 213 284 302 426 453 497 568 604 852 906 994 1057 1208 1491 1704 1812 1988 2114 2982 3171 3624 3976 4228 5964 6342 8456 10721 11928 12684 21442 25368 32163 42884 64326 75047 85768 128652 150094 225141 257304 300188 450282 600376 900564 1801128