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10047840 = 2535112173
BaseRepresentation
bin100110010101…
…000101100000
3200220111001020
4212111011200
510033012330
6555205440
7151255665
oct46250540
920814036
1010047840
115743100
123446880
13210a58a
141497a6c
15d37210
hex995160

10047840 has 144 divisors (see below), whose sum is σ = 34990704. Its totient is φ = 2421760.

The previous prime is 10047823. The next prime is 10047841. The reversal of 10047840 is 4874001.

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 10047840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10047841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57994 + ... + 58166.

It is an arithmetic number, because the mean of its divisors is an integer number (242991).

Almost surely, 210047840 is an apocalyptic number.

10047840 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 10047840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17495352).

10047840 is an abundant number, since it is smaller than the sum of its proper divisors (24942864).

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

10047840 is a wasteful number, since it uses less digits than its factorization.

10047840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10047840 is about 3169.8328031617. The cubic root of 10047840 is about 215.7864831087.

The spelling of 10047840 in words is "ten million, forty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 173 176 220 240 242 264 330 346 352 363 440 480 484 519 528 605 660 692 726 865 880 968 1038 1056 1210 1320 1384 1452 1730 1760 1815 1903 1936 2076 2420 2595 2640 2768 2904 3460 3630 3806 3872 4152 4840 5190 5280 5536 5709 5808 6920 7260 7612 8304 9515 9680 10380 11418 11616 13840 14520 15224 16608 19030 19360 20760 20933 22836 27680 28545 29040 30448 38060 41520 41866 45672 57090 58080 60896 62799 76120 83040 83732 91344 104665 114180 125598 152240 167464 182688 209330 228360 251196 304480 313995 334928 418660 456720 502392 627990 669856 837320 913440 1004784 1255980 1674640 2009568 2511960 3349280 5023920 10047840