[go: up one dir, main page]

Search a number
-
+
1043709840 = 243351373527
BaseRepresentation
bin111110001101011…
…011111110010000
32200201220221202000
4332031123332100
54114142203330
6251322154000
734602246555
oct7615337620
92621827660
101043709840
11496168718
12251652900
131383024b4
149c888a2c
1561967560
hex3e35bf90

1043709840 has 160 divisors (see below), whose sum is σ = 3622268160. Its totient is φ = 276212736.

The previous prime is 1043709833. The next prime is 1043709841. The reversal of 1043709840 is 489073401.

It is a happy number.

It is a super-2 number, since 2×10437098402 = 2178660460225651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1043709795 and 1043709804.

It is not an unprimeable number, because it can be changed into a prime (1043709841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294157 + ... + 297683.

It is an arithmetic number, because the mean of its divisors is an integer number (22639176).

Almost surely, 21043709840 is an apocalyptic number.

1043709840 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 1043709840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811134080).

1043709840 is an abundant number, since it is smaller than the sum of its proper divisors (2578558320).

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

1043709840 is a wasteful number, since it uses less digits than its factorization.

1043709840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1043709840 is about 32306.4984175011. The cubic root of 1043709840 is about 1014.3626726920.

The spelling of 1043709840 in words is "one billion, forty-three million, seven hundred nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 137 144 180 216 240 270 274 360 411 432 540 548 685 720 822 1080 1096 1233 1370 1644 2055 2160 2192 2466 2740 3288 3527 3699 4110 4932 5480 6165 6576 7054 7398 8220 9864 10581 10960 12330 14108 14796 16440 17635 18495 19728 21162 24660 28216 29592 31743 32880 35270 36990 42324 49320 52905 56432 59184 63486 70540 73980 84648 95229 98640 105810 126972 141080 147960 158715 169296 190458 211620 253944 282160 295920 317430 380916 423240 476145 483199 507888 634860 761832 846480 952290 966398 1269720 1449597 1523664 1904580 1932796 2415995 2539440 2899194 3809160 3865592 4348791 4831990 5798388 7247985 7618320 7731184 8697582 9663980 11596776 13046373 14495970 17395164 19327960 21743955 23193552 26092746 28991940 34790328 38655920 43487910 52185492 57983880 65231865 69580656 86975820 104370984 115967760 130463730 173951640 208741968 260927460 347903280 521854920 1043709840