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10535424 = 293193
BaseRepresentation
bin101000001100…
…001000000000
3201211020212220
4220030020000
510144113144
61013451040
7155356344
oct50141000
921736786
1010535424
115a46469
123640a80
13224b4a3
141583624
15dd1919
hexa0c200

10535424 has 80 divisors (see below), whose sum is σ = 29626080. Its totient is φ = 3326976.

The previous prime is 10535423. The next prime is 10535429. The reversal of 10535424 is 42453501.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=152.

It is a super-2 number, since 2×105354242 = 221990317719552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10535394 and 10535403.

It is not an unprimeable number, because it can be changed into a prime (10535423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554487 + ... + 554505.

It is an arithmetic number, because the mean of its divisors is an integer number (370326).

Almost surely, 210535424 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 10535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14813040).

10535424 is an abundant number, since it is smaller than the sum of its proper divisors (19090656).

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

10535424 is an frugal number, since it uses more digits than its factorization.

10535424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 10535424 is about 3245.8317886175. The cubic root of 10535424 is about 219.2219346867.

10535424 divided by its sum of digits (24) gives a cube (438976 = 763).

Adding to 10535424 its reverse (42453501), we get a palindrome (52988925).

The spelling of 10535424 in words is "ten million, five hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 512 608 722 768 912 1083 1216 1444 1536 1824 2166 2432 2888 3648 4332 4864 5776 6859 7296 8664 9728 11552 13718 14592 17328 20577 23104 27436 29184 34656 41154 46208 54872 69312 82308 92416 109744 138624 164616 184832 219488 277248 329232 438976 554496 658464 877952 1316928 1755904 2633856 3511808 5267712 10535424