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10328220 = 22325721171
BaseRepresentation
bin100111011001…
…100010011100
3201102201122200
4213121202130
510121000340
61005211500
7153534300
oct47314234
921381580
1010328220
115914821
123560b90
1321a8096
14152bd00
15d90330
hex9d989c

10328220 has 108 divisors (see below), whose sum is σ = 36474984. Its totient is φ = 2358720.

The previous prime is 10328209. The next prime is 10328237. The reversal of 10328220 is 2282301.

It is a happy number.

10328220 is digitally balanced in base 2, because in such base 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 = 10328193 and 10328202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8235 + ... + 9405.

Almost surely, 210328220 is an apocalyptic number.

10328220 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 10328220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18237492).

10328220 is an abundant number, since it is smaller than the sum of its proper divisors (26146764).

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

10328220 is a wasteful number, since it uses less digits than its factorization.

10328220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1188 counting only the distinct ones).

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

The square root of 10328220 is about 3213.7548132986. The cubic root of 10328220 is about 217.7752361759.

The spelling of 10328220 in words is "ten million, three hundred twenty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1171 1260 1470 1764 2205 2342 2940 3513 4410 4684 5855 7026 8197 8820 10539 11710 14052 16394 17565 21078 23420 24591 32788 35130 40985 42156 49182 52695 57379 70260 73773 81970 98364 105390 114758 122955 147546 163940 172137 210780 229516 245910 286895 295092 344274 368865 491820 516411 573790 688548 737730 860685 1032822 1147580 1475460 1721370 2065644 2582055 3442740 5164110 10328220