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10522428 = 2237192347
BaseRepresentation
bin101000001000…
…111100111100
3201210121001120
4220020330330
510143204203
61013310540
7155303430
oct50107474
921717046
1010522428
115a37724
123635450
1322455b7
14157c9c0
15dccb53
hexa08f3c

10522428 has 72 divisors (see below), whose sum is σ = 29699712. Its totient is φ = 2839968.

The previous prime is 10522427. The next prime is 10522429. The reversal of 10522428 is 82422501.

It is an interprime number because it is at equal distance from previous prime (10522427) and next prime (10522429).

It is a super-2 number, since 2×105224282 = 221442982030368, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10522398 and 10522407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10522427) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30151 + ... + 30497.

It is an arithmetic number, because the mean of its divisors is an integer number (412496).

Almost surely, 210522428 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 10522428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849856).

10522428 is an abundant number, since it is smaller than the sum of its proper divisors (19177284).

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

10522428 is a wasteful number, since it uses less digits than its factorization.

10522428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 10522428 is about 3243.8292186858. The cubic root of 10522428 is about 219.1317569988.

Adding to 10522428 its reverse (82422501), we get a palindrome (92944929).

The spelling of 10522428 in words is "ten million, five hundred twenty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 347 361 399 532 694 722 798 1041 1083 1388 1444 1596 2082 2166 2429 2527 4164 4332 4858 5054 6593 7287 7581 9716 10108 13186 14574 15162 19779 26372 29148 30324 39558 46151 79116 92302 125267 138453 184604 250534 276906 375801 501068 553812 751602 876869 1503204 1753738 2630607 3507476 5261214 10522428