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10803420 = 22325471277
BaseRepresentation
bin101001001101…
…100011011100
3202022212111200
4221031203130
510231202140
61023315500
7160553565
oct51154334
922285450
1010803420
116109851
12374bb90
132313474
14161316c
15e36030
hexa4d8dc

10803420 has 72 divisors (see below), whose sum is σ = 33493824. Its totient is φ = 2817408.

The previous prime is 10803413. The next prime is 10803421. The reversal of 10803420 is 2430801.

It is a happy number.

10803420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10803393 and 10803402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10803421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7822 + ... + 9098.

It is an arithmetic number, because the mean of its divisors is an integer number (465192).

Almost surely, 210803420 is an apocalyptic number.

10803420 is a gapful number since it is divisible by the number (10) 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 10803420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16746912).

10803420 is an abundant number, since it is smaller than the sum of its proper divisors (22690404).

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

10803420 is a wasteful number, since it uses less digits than its factorization.

10803420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10803420 is about 3286.8556402738. The cubic root of 10803420 is about 221.0652196555.

The spelling of 10803420 in words is "ten million, eight hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1277 1410 1692 2115 2554 2820 3831 4230 5108 6385 7662 8460 11493 12770 15324 19155 22986 25540 38310 45972 57465 60019 76620 114930 120038 180057 229860 240076 300095 360114 540171 600190 720228 900285 1080342 1200380 1800570 2160684 2700855 3601140 5401710 10803420