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10323320 = 2357223229
BaseRepresentation
bin100111011000…
…010101111000
3201102110221012
4213120111320
510120321240
61005133052
7153514100
oct47302570
921373835
1010323320
115911077
12355a188
1321a5a97
14152a200
15d8db65
hex9d8578

10323320 has 96 divisors (see below), whose sum is σ = 28317600. Its totient is φ = 3370752.

The previous prime is 10323317. The next prime is 10323323. The reversal of 10323320 is 2332301.

10323320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10323317) and next prime (10323323).

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

It is a junction number, because it is equal to n+sod(n) for n = 10323295 and 10323304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10323323) 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, 44966 + ... + 45194.

It is an arithmetic number, because the mean of its divisors is an integer number (294975).

Almost surely, 210323320 is an apocalyptic number.

10323320 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 10323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14158800).

10323320 is an abundant number, since it is smaller than the sum of its proper divisors (17994280).

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

10323320 is a wasteful number, since it uses less digits than its factorization.

10323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 10323320 is about 3212.9923747186. The cubic root of 10323320 is about 217.7407911488.

Adding to 10323320 its reverse (2332301), we get a palindrome (12655621).

The spelling of 10323320 in words is "ten million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 49 56 70 92 98 115 140 161 184 196 229 230 245 280 322 392 458 460 490 644 805 916 920 980 1127 1145 1288 1603 1610 1832 1960 2254 2290 3206 3220 4508 4580 5267 5635 6412 6440 8015 9016 9160 10534 11221 11270 12824 16030 21068 22442 22540 26335 32060 36869 42136 44884 45080 52670 56105 64120 73738 89768 105340 112210 147476 184345 210680 224420 258083 294952 368690 448840 516166 737380 1032332 1290415 1474760 2064664 2580830 5161660 10323320