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10047870 = 2325741389
BaseRepresentation
bin100110010101…
…000101111110
3200220111002100
4212111011332
510033012440
6555205530
7151256040
oct46250576
920814070
1010047870
115743128
1234468a6
13210a5b1
141497a90
15d37230
hex99517e

10047870 has 96 divisors (see below), whose sum is σ = 30663360. Its totient is φ = 2234880.

The previous prime is 10047841. The next prime is 10047871. The reversal of 10047870 is 7874001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10047871) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25636 + ... + 26024.

It is an arithmetic number, because the mean of its divisors is an integer number (319410).

Almost surely, 210047870 is an apocalyptic number.

10047870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10047870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331680).

10047870 is an abundant number, since it is smaller than the sum of its proper divisors (20615490).

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

10047870 is a wasteful number, since it uses less digits than its factorization.

10047870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 10047870 is about 3169.8375352690. The cubic root of 10047870 is about 215.7866978676.

The spelling of 10047870 in words is "ten million, forty-seven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 389 410 574 615 630 738 778 861 1167 1230 1435 1722 1845 1945 2334 2583 2723 2870 3501 3690 3890 4305 5166 5446 5835 7002 8169 8610 11670 12915 13615 15949 16338 17505 24507 25830 27230 31898 35010 40845 47847 49014 79745 81690 95694 111643 122535 143541 159490 223286 239235 245070 287082 334929 478470 558215 669858 717705 1004787 1116430 1435410 1674645 2009574 3349290 5023935 10047870