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803012 = 227217241
BaseRepresentation
bin11000100000011000100
31111210112012
43010003010
5201144022
625113352
76553100
oct3040304
91453465
10803012
114a9351
12328858
13221672
1416c900
1510cde2
hexc40c4

803012 has 36 divisors (see below), whose sum is σ = 1738044. Its totient is φ = 322560.

The previous prime is 802987. The next prime is 803027. The reversal of 803012 is 210308.

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 188356 = 784^2 + 434^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3212 + ... + 3452.

It is an arithmetic number, because the mean of its divisors is an integer number (48279).

2803012 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 803012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869022).

803012 is an abundant number, since it is smaller than the sum of its proper divisors (935032).

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

803012 is a wasteful number, since it uses less digits than its factorization.

803012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 803012 is about 896.1093683251. The cubic root of 803012 is about 92.9481346447.

Subtracting from 803012 its reverse (210308), we obtain a cube (592704 = 843).

The spelling of 803012 in words is "eight hundred three thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 241 476 482 833 964 1666 1687 3332 3374 4097 6748 8194 11809 16388 23618 28679 47236 57358 114716 200753 401506 803012