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10047000 = 2335317197
BaseRepresentation
bin100110010100…
…111000011000
3200220102220010
4212110320120
510033001000
6555201520
7151253355
oct46247030
920812803
1010047000
115742507
1234462a0
13210a092
14149762c
15d36d50
hex994e18

10047000 has 128 divisors (see below), whose sum is σ = 33359040. Its totient is φ = 2508800.

The previous prime is 10046999. The next prime is 10047031. The reversal of 10047000 is 74001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50902 + ... + 51098.

Almost surely, 210047000 is an apocalyptic number.

10047000 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 10047000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16679520).

10047000 is an abundant number, since it is smaller than the sum of its proper divisors (23312040).

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

10047000 is a wasteful number, since it uses less digits than its factorization.

10047000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 10047000 is about 3169.7003012903. The cubic root of 10047000 is about 215.7804696870.

The spelling of 10047000 in words is "ten million, forty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 197 200 204 250 255 300 340 375 394 408 425 500 510 591 600 680 750 788 850 985 1000 1020 1182 1275 1500 1576 1700 1970 2040 2125 2364 2550 2955 3000 3349 3400 3940 4250 4728 4925 5100 5910 6375 6698 7880 8500 9850 10047 10200 11820 12750 13396 14775 16745 17000 19700 20094 23640 24625 25500 26792 29550 33490 39400 40188 49250 50235 51000 59100 66980 73875 80376 83725 98500 100470 118200 133960 147750 167450 197000 200940 251175 295500 334900 401880 418625 502350 591000 669800 837250 1004700 1255875 1674500 2009400 2511750 3349000 5023500 10047000