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1143584420 = 2251131732297
BaseRepresentation
bin100010000101001…
…1011011010100100
32221200212002220112
41010022123122210
54320224200140
6305250552152
740224210236
oct10412333244
92850762815
101143584420
115375839a0
1227ab98658
13152c00b94
14abc46256
156a5e4c65
hex4429b6a4

1143584420 has 96 divisors (see below), whose sum is σ = 2742598656. Its totient is φ = 396748800.

The previous prime is 1143584413. The next prime is 1143584467. The reversal of 1143584420 is 244853411.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 496712 + ... + 499008.

It is an arithmetic number, because the mean of its divisors is an integer number (28568736).

Almost surely, 21143584420 is an apocalyptic number.

1143584420 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 1143584420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371299328).

1143584420 is an abundant number, since it is smaller than the sum of its proper divisors (1599014236).

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

1143584420 is a wasteful number, since it uses less digits than its factorization.

1143584420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 1143584420 is about 33816.9250524053. The cubic root of 1143584420 is about 1045.7376475722.

The spelling of 1143584420 in words is "one billion, one hundred forty-three million, five hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 73 110 124 146 155 220 292 310 341 365 620 682 730 803 1364 1460 1606 1705 2263 2297 3212 3410 4015 4526 4594 6820 8030 9052 9188 11315 11485 16060 22630 22970 24893 25267 45260 45940 49786 50534 71207 99572 101068 124465 126335 142414 167681 248930 252670 284828 335362 356035 497860 505340 670724 712070 783277 838405 1424140 1566554 1676810 1844491 3133108 3353620 3688982 3916385 5198111 7377964 7832770 9222455 10396222 15665540 18444910 20792444 25990555 36889820 51981110 57179221 103962220 114358442 228716884 285896105 571792210 1143584420