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10063008 = 253319613
BaseRepresentation
bin100110011000…
…110010100000
3200221020212000
4212120302200
510034004013
6555404000
7151351134
oct46306240
920836760
1010063008
11575353a
123453600
132114457
14149d3c4
15d3b973
hex998ca0

10063008 has 96 divisors (see below), whose sum is σ = 30945600. Its totient is φ = 3172608.

The previous prime is 10062991. The next prime is 10063049. The reversal of 10063008 is 80036001.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16110 + ... + 16722.

It is an arithmetic number, because the mean of its divisors is an integer number (322350).

Almost surely, 210063008 is an apocalyptic number.

10063008 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 10063008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15472800).

10063008 is an abundant number, since it is smaller than the sum of its proper divisors (20882592).

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

10063008 is a wasteful number, since it uses less digits than its factorization.

10063008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10063008 is about 3172.2244561191. The cubic root of 10063008 is about 215.8950107054.

Adding to 10063008 its reverse (80036001), we get a palindrome (90099009).

The spelling of 10063008 in words is "ten million, sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 613 684 864 912 1026 1226 1368 1824 1839 2052 2452 2736 3678 4104 4904 5472 5517 7356 8208 9808 11034 11647 14712 16416 16551 19616 22068 23294 29424 33102 34941 44136 46588 58848 66204 69882 88272 93176 104823 132408 139764 176544 186352 209646 264816 279528 314469 372704 419292 529632 559056 628938 838584 1118112 1257876 1677168 2515752 3354336 5031504 10063008