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10551424 = 271317373
BaseRepresentation
bin101000010000…
…000010000000
3201212001211111
4220100002000
510200121144
61014053104
7155454112
oct50200200
921761744
1010551424
115a57494
12364a194
132255860
1415893b2
15dd6534
hexa10080

10551424 has 64 divisors (see below), whose sum is σ = 24033240. Its totient is φ = 4571136.

The previous prime is 10551421. The next prime is 10551467. The reversal of 10551424 is 42415501.

It can be written as a sum of positive squares in 4 ways, for example, as 8809024 + 1742400 = 2968^2 + 1320^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105514242 = 222665096855552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10551395 and 10551404.

It is not an unprimeable number, because it can be changed into a prime (10551421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28102 + ... + 28474.

Almost surely, 210551424 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 10551424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12016620).

10551424 is an abundant number, since it is smaller than the sum of its proper divisors (13481816).

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

10551424 is a wasteful number, since it uses less digits than its factorization.

10551424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 10551424 is about 3248.2955530555. The cubic root of 10551424 is about 219.3328549759.

Adding to 10551424 its reverse (42415501), we get a palindrome (52966925).

It can be divided in two parts, 105 and 51424, that added together give a square (51529 = 2272).

The spelling of 10551424 in words is "ten million, five hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 373 416 442 544 746 832 884 1088 1492 1664 1768 2176 2984 3536 4849 5968 6341 7072 9698 11936 12682 14144 19396 23872 25364 28288 38792 47744 50728 77584 82433 101456 155168 164866 202912 310336 329732 405824 620672 659464 811648 1318928 2637856 5275712 10551424