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803040 = 25357239
BaseRepresentation
bin11000100000011100000
31111210120020
43010003200
5201144130
625113440
76553140
oct3040340
91453506
10803040
114a9377
12328880
13221694
1416c920
1510ce10
hexc40e0

803040 has 96 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 182784.

The previous prime is 803027. The next prime is 803041. The reversal of 803040 is 40308.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803041) by changing a digit.

803040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3241 + ... + 3479.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2803040 is an apocalyptic number.

803040 is a gapful number since it is divisible by the number (80) 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 803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

803040 is an abundant number, since it is smaller than the sum of its proper divisors (2100000).

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

803040 is a wasteful number, since it uses less digits than its factorization.

803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 803040 is about 896.1249912819. The cubic root of 803040 is about 92.9492149596.

Adding to 803040 its reverse (40308), we get a palindrome (843348).

The spelling of 803040 in words is "eight hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 239 240 280 336 420 478 480 560 672 717 840 956 1120 1195 1434 1673 1680 1912 2390 2868 3346 3360 3585 3824 4780 5019 5736 6692 7170 7648 8365 9560 10038 11472 13384 14340 16730 19120 20076 22944 25095 26768 28680 33460 38240 40152 50190 53536 57360 66920 80304 100380 114720 133840 160608 200760 267680 401520 803040