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10513404 = 223211139191
BaseRepresentation
bin101000000110…
…101111111100
3201210010200100
4220012233330
510142412104
61013201100
7155235216
oct50065774
921703610
1010513404
115a30970
123630190
132241465
1415795b6
15dca139
hexa06bfc

10513404 has 72 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 3146400.

The previous prime is 10513379. The next prime is 10513409. The reversal of 10513404 is 40431501.

It is a happy number.

It is a super-2 number, since 2×105134042 = 221063327334432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54949 + ... + 55139.

It is an arithmetic number, because the mean of its divisors is an integer number (407680).

Almost surely, 210513404 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 10513404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).

10513404 is an abundant number, since it is smaller than the sum of its proper divisors (18839556).

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

10513404 is a wasteful number, since it uses less digits than its factorization.

10513404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10513404 is about 3242.4379716503. The cubic root of 10513404 is about 219.0690968558.

Adding to 10513404 its reverse (40431501), we get a palindrome (50944905).

The spelling of 10513404 in words is "ten million, five hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 139 191 198 278 382 396 417 556 573 764 834 1146 1251 1529 1668 1719 2101 2292 2502 3058 3438 4202 4587 5004 6116 6303 6876 8404 9174 12606 13761 18348 18909 25212 26549 27522 37818 53098 55044 75636 79647 106196 159294 238941 292039 318588 477882 584078 876117 955764 1168156 1752234 2628351 3504468 5256702 10513404