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10063680 = 263511953
BaseRepresentation
bin100110011000…
…111101000000
3200221021202220
4212120331000
510034014210
6555411040
7151353114
oct46307500
920837686
1010063680
115753aa0
123453a80
132114853
14149d744
15d3bc70
hex998f40

10063680 has 112 divisors (see below), whose sum is σ = 34893504. Its totient is φ = 2437120.

The previous prime is 10063661. The next prime is 10063681. The reversal of 10063680 is 8636001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10063680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10063681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10084 + ... + 11036.

Almost surely, 210063680 is an apocalyptic number.

10063680 is a gapful number since it is divisible by the number (10) 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 10063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17446752).

10063680 is an abundant number, since it is smaller than the sum of its proper divisors (24829824).

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

10063680 is a wasteful number, since it uses less digits than its factorization.

10063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10063680 is about 3172.3303737158. The cubic root of 10063680 is about 215.8998163665.

Adding to 10063680 its reverse (8636001), we get a palindrome (18699681).

The spelling of 10063680 in words is "ten million, sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 953 960 1056 1320 1760 1906 2112 2640 2859 3520 3812 4765 5280 5718 7624 9530 10483 10560 11436 14295 15248 19060 20966 22872 28590 30496 31449 38120 41932 45744 52415 57180 60992 62898 76240 83864 91488 104830 114360 125796 152480 157245 167728 182976 209660 228720 251592 304960 314490 335456 419320 457440 503184 628980 670912 838640 914880 1006368 1257960 1677280 2012736 2515920 3354560 5031840 10063680