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10324320 = 2535137157
BaseRepresentation
bin100111011000…
…100101100000
3201102112022020
4213120211200
510120334240
61005141440
7153520026
oct47304540
921375266
1010324320
1159118a6
12355a880
1321a6386
14152a716
15d8e0d0
hex9d8960

10324320 has 96 divisors (see below), whose sum is σ = 32967648. Its totient is φ = 2715648.

The previous prime is 10324313. The next prime is 10324337. The reversal of 10324320 is 2342301.

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 self number, because there is not a number n which added to its sum of digits gives 10324320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65682 + ... + 65838.

It is an arithmetic number, because the mean of its divisors is an integer number (343413).

Almost surely, 210324320 is an apocalyptic number.

10324320 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 10324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483824).

10324320 is an abundant number, since it is smaller than the sum of its proper divisors (22643328).

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

10324320 is a wasteful number, since it uses less digits than its factorization.

10324320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 10324320 is about 3213.1479891222. The cubic root of 10324320 is about 217.7478216312.

Adding to 10324320 its reverse (2342301), we get a palindrome (12666621).

The spelling of 10324320 in words is "ten million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 137 157 160 240 274 314 411 471 480 548 628 685 785 822 942 1096 1256 1370 1570 1644 1884 2055 2192 2355 2512 2740 3140 3288 3768 4110 4384 4710 5024 5480 6280 6576 7536 8220 9420 10960 12560 13152 15072 16440 18840 21509 21920 25120 32880 37680 43018 64527 65760 75360 86036 107545 129054 172072 215090 258108 322635 344144 430180 516216 645270 688288 860360 1032432 1290540 1720720 2064864 2581080 3441440 5162160 10324320