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12520224 = 253343337
BaseRepresentation
bin101111110000…
…101100100000
3212120002112000
4233300230200
511201121344
61124204000
7211264053
oct57605440
925502460
1012520224
1170816a2
124239600
132794a22
14193ca9a
151174a69
hexbf0b20

12520224 has 96 divisors (see below), whose sum is σ = 37477440. Its totient is φ = 4064256.

The previous prime is 12520219. The next prime is 12520237. The reversal of 12520224 is 42202521.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12520197 and 12520206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36984 + ... + 37320.

It is an arithmetic number, because the mean of its divisors is an integer number (390390).

Almost surely, 212520224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12520224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738720).

12520224 is an abundant number, since it is smaller than the sum of its proper divisors (24957216).

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

12520224 is a wasteful number, since it uses less digits than its factorization.

12520224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12520224 is about 3538.3928555207. The cubic root of 12520224 is about 232.2045362306.

Adding to 12520224 its reverse (42202521), we get a palindrome (54722745).

The spelling of 12520224 in words is "twelve million, five hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 337 344 387 432 516 674 688 774 864 1011 1032 1161 1348 1376 1548 2022 2064 2322 2696 3033 3096 4044 4128 4644 5392 6066 6192 8088 9099 9288 10784 12132 12384 14491 16176 18198 18576 24264 28982 32352 36396 37152 43473 48528 57964 72792 86946 97056 115928 130419 145584 173892 231856 260838 291168 347784 391257 463712 521676 695568 782514 1043352 1391136 1565028 2086704 3130056 4173408 6260112 12520224