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10530126 = 2323797163
BaseRepresentation
bin101000001010…
…110101001110
3201210222121200
4220022311032
510143431001
61013410330
7155335035
oct50126516
921728550
1010530126
115a42492
1236399a6
132248c59
14158171c
15dd0086
hexa0ad4e

10530126 has 48 divisors (see below), whose sum is σ = 23818704. Its totient is φ = 3359232.

The previous prime is 10530119. The next prime is 10530133. The reversal of 10530126 is 62103501.

10530126 is a `hidden beast` number, since 10 + 530 + 126 = 666.

It is an interprime number because it is at equal distance from previous prime (10530119) and next prime (10530133).

It is a super-2 number, since 2×105301262 = 221767107151752, which contains 22 as substring.

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 = 10530099 and 10530108.

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 23 ways as a sum of consecutive naturals, for example, 64521 + ... + 64683.

It is an arithmetic number, because the mean of its divisors is an integer number (496223).

Almost surely, 210530126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10530126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11909352).

10530126 is an abundant number, since it is smaller than the sum of its proper divisors (13288578).

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

10530126 is a wasteful number, since it uses less digits than its factorization.

10530126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10530126 is about 3245.0155623664. The cubic root of 10530126 is about 219.1851814578.

Adding to 10530126 its reverse (62103501), we get a palindrome (72633627).

The spelling of 10530126 in words is "ten million, five hundred thirty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 37 74 97 111 163 194 222 291 326 333 489 582 666 873 978 1467 1746 2934 3589 6031 7178 10767 12062 15811 18093 21534 31622 32301 36186 47433 54279 64602 94866 108558 142299 284598 585007 1170014 1755021 3510042 5265063 10530126