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10047024 = 2433131789
BaseRepresentation
bin100110010100…
…111000110000
3200220102221000
4212110320300
510033001044
6555202000
7151253421
oct46247060
920812830
1010047024
115742529
123446300
13210a0b0
141497648
15d36d69
hex994e30

10047024 has 80 divisors (see below), whose sum is σ = 31074400. Its totient is φ = 3089664.

The previous prime is 10046999. The next prime is 10047031. The reversal of 10047024 is 42074001.

It is a happy number.

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 = 10046988 and 10047006.

It is a congruent number.

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, 4722 + ... + 6510.

It is an arithmetic number, because the mean of its divisors is an integer number (388430).

Almost surely, 210047024 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 10047024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15537200).

10047024 is an abundant number, since it is smaller than the sum of its proper divisors (21027376).

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

10047024 is a wasteful number, since it uses less digits than its factorization.

10047024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10047024 is about 3169.7040871349. The cubic root of 10047024 is about 215.7806415037.

The spelling of 10047024 in words is "ten million, forty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1789 1872 2808 3578 5367 5616 7156 10734 14312 16101 21468 23257 28624 32202 42936 46514 48303 64404 69771 85872 93028 96606 128808 139542 186056 193212 209313 257616 279084 372112 386424 418626 558168 627939 772848 837252 1116336 1255878 1674504 2511756 3349008 5023512 10047024