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10320420 = 22351119823
BaseRepresentation
bin100111010111…
…101000100100
3201102022221210
4213113220210
510120223140
61005111420
7153502455
oct47275044
921368853
1010320420
115909980
123558570
1321a4676
14152912c
15d8cd80
hex9d7a24

10320420 has 96 divisors (see below), whose sum is σ = 33223680. Its totient is φ = 2367360.

The previous prime is 10320391. The next prime is 10320437. The reversal of 10320420 is 2402301.

10320420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103204202 = 213022137952800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10320396 and 10320405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12129 + ... + 12951.

It is an arithmetic number, because the mean of its divisors is an integer number (346080).

Almost surely, 210320420 is an apocalyptic number.

10320420 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 10320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16611840).

10320420 is an abundant number, since it is smaller than the sum of its proper divisors (22903260).

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

10320420 is a wasteful number, since it uses less digits than its factorization.

10320420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10320420 is about 3212.5410503214. The cubic root of 10320420 is about 217.7204001818.

Adding to 10320420 its reverse (2402301), we get a palindrome (12722721).

The spelling of 10320420 in words is "ten million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 823 836 1045 1140 1254 1646 2090 2469 2508 3135 3292 4115 4180 4938 6270 8230 9053 9876 12345 12540 15637 16460 18106 24690 27159 31274 36212 45265 46911 49380 54318 62548 78185 90530 93822 108636 135795 156370 172007 181060 187644 234555 271590 312740 344014 469110 516021 543180 688028 860035 938220 1032042 1720070 2064084 2580105 3440140 5160210 10320420