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10313424 = 24321117383
BaseRepresentation
bin100111010101…
…111011010000
3201101222100200
4213111323100
510120012144
61005015200
7153443202
oct47257320
921358320
1010313424
1159046a0
123554500
1321a1424
141526772
15d8ac69
hex9d5ed0

10313424 has 120 divisors (see below), whose sum is σ = 33426432. Its totient is φ = 2933760.

The previous prime is 10313423. The next prime is 10313437. The reversal of 10313424 is 42431301.

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 = 10313397 and 10313406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313423) 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, 26737 + ... + 27119.

Almost surely, 210313424 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 10313424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216).

10313424 is an abundant number, since it is smaller than the sum of its proper divisors (23113008).

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

10313424 is a wasteful number, since it uses less digits than its factorization.

10313424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10313424 is about 3211.4520080487. The cubic root of 10313424 is about 217.6711930040.

Adding to 10313424 its reverse (42431301), we get a palindrome (52744725).

The spelling of 10313424 in words is "ten million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 383 396 408 528 561 612 748 766 792 816 1122 1149 1224 1496 1532 1584 1683 2244 2298 2448 2992 3064 3366 3447 4213 4488 4596 6128 6511 6732 6894 8426 8976 9192 12639 13022 13464 13788 16852 18384 19533 25278 26044 26928 27576 33704 37917 39066 50556 52088 55152 58599 67408 71621 75834 78132 101112 104176 117198 143242 151668 156264 202224 214863 234396 286484 303336 312528 429726 468792 572968 606672 644589 859452 937584 1145936 1289178 1718904 2578356 3437808 5156712 10313424