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10313568 = 253423173
BaseRepresentation
bin100111010101…
…111101100000
3201101222120000
4213111331200
510120013233
61005020000
7153443466
oct47257540
921358500
1010313568
115904811
123554600
1321a1505
141526836
15d8ad13
hex9d5f60

10313568 has 120 divisors (see below), whose sum is σ = 31833648. Its totient is φ = 3269376.

The previous prime is 10313551. The next prime is 10313579. The reversal of 10313568 is 86531301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 59530 + ... + 59702.

Almost surely, 210313568 is an apocalyptic number.

10313568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10313568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15916824).

10313568 is an abundant number, since it is smaller than the sum of its proper divisors (21520080).

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

10313568 is a wasteful number, since it uses less digits than its factorization.

10313568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10313568 is about 3211.4744277356. The cubic root of 10313568 is about 217.6722060690.

Adding to 10313568 its reverse (86531301), we get a palindrome (96844869).

The spelling of 10313568 in words is "ten million, three hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 173 184 207 216 276 288 324 346 368 414 432 519 552 621 648 692 736 828 864 1038 1104 1242 1296 1384 1557 1656 1863 2076 2208 2484 2592 2768 3114 3312 3726 3979 4152 4671 4968 5536 6228 6624 7452 7958 8304 9342 9936 11937 12456 14013 14904 15916 16608 18684 19872 23874 24912 28026 29808 31832 35811 37368 47748 49824 56052 59616 63664 71622 74736 95496 107433 112104 127328 143244 149472 190992 214866 224208 286488 322299 381984 429732 448416 572976 644598 859464 1145952 1289196 1718928 2578392 3437856 5156784 10313568