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1143116520 = 2335713104681
BaseRepresentation
bin100010000100010…
…1001001011101000
32221122222100001220
41010020221023220
54320114212040
6305232542040
740220221140
oct10410511350
92848870056
101143116520
115372943a7
1227a9b1920
13152a98c10
14abb63920
156a5512d0
hex442292e8

1143116520 has 128 divisors (see below), whose sum is σ = 4220778240. Its totient is φ = 241182720.

The previous prime is 1143116501. The next prime is 1143116573. The reversal of 1143116520 is 256113411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41421 + ... + 63260.

It is an arithmetic number, because the mean of its divisors is an integer number (32974830).

Almost surely, 21143116520 is an apocalyptic number.

1143116520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1143116520 is an abundant number, since it is smaller than the sum of its proper divisors (3077661720).

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

1143116520 is a wasteful number, since it uses less digits than its factorization.

1143116520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104715 (or 104711 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1143116520 is about 33810.0062111796. The cubic root of 1143116520 is about 1045.5950061882.

Adding to 1143116520 its reverse (256113411), we get a palindrome (1399229931).

The spelling of 1143116520 in words is "one billion, one hundred forty-three million, one hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 104681 209362 314043 418724 523405 628086 732767 837448 1046810 1256172 1360853 1465534 1570215 2093620 2198301 2512344 2721706 2931068 3140430 3663835 4082559 4187240 4396602 5443412 5862136 6280860 6804265 7327670 8165118 8793204 9525971 10886824 10991505 12561720 13608530 14655340 16330236 17586408 19051942 20412795 21983010 27217060 28577913 29310680 32660472 38103884 40825590 43966020 47629855 54434120 57155826 76207768 81651180 87932040 95259710 114311652 142889565 163302360 190519420 228623304 285779130 381038840 571558260 1143116520