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10530104 = 231319732
BaseRepresentation
bin101000001010…
…110100111000
3201210222120212
4220022310320
510143430404
61013410252
7155335004
oct50126470
921728525
1010530104
115a42472
123639988
132248c40
141581704
15dd006e
hexa0ad38

10530104 has 48 divisors (see below), whose sum is σ = 22692600. Its totient is φ = 4541184.

The previous prime is 10530097. The next prime is 10530109. The reversal of 10530104 is 40103501.

10530104 = T397 + T398 + ... + T500.

It is a super-2 number, since 2×105301042 = 221766180501632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144212 + ... + 144284.

Almost surely, 210530104 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 10530104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11346300).

10530104 is an abundant number, since it is smaller than the sum of its proper divisors (12162496).

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

10530104 is a wasteful number, since it uses less digits than its factorization.

10530104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10530104 is about 3245.0121725504. The cubic root of 10530104 is about 219.1850288139.

Adding to 10530104 its reverse (40103501), we get a palindrome (50633605).

The spelling of 10530104 in words is "ten million, five hundred thirty thousand, one hundred four".

Divisors: 1 2 4 8 13 19 26 38 52 73 76 104 146 152 247 292 494 584 949 988 1387 1898 1976 2774 3796 5329 5548 7592 10658 11096 18031 21316 36062 42632 69277 72124 101251 138554 144248 202502 277108 405004 554216 810008 1316263 2632526 5265052 10530104