Search a number
-
+
1143381810 = 235192697457
BaseRepresentation
bin100010000100110…
…1001111100110010
32221200110210222110
41010021221330302
54320201204220
6305242350150
740222404444
oct10411517462
92850423873
101143381810
1153745574a
1227aabb356
13152b5c8ac
14abbd2494
156a5a4be0
hex44269f32

1143381810 has 64 divisors (see below), whose sum is σ = 2899670400. Its totient is φ = 287741952.

The previous prime is 1143381809. The next prime is 1143381817. The reversal of 1143381810 is 181833411.

It is a super-2 number, since 2×11433818102 = 2614643926877752200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1143381817) 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, 149602 + ... + 157058.

It is an arithmetic number, because the mean of its divisors is an integer number (45307350).

Almost surely, 21143381810 is an apocalyptic number.

1143381810 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 1143381810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449835200).

1143381810 is an abundant number, since it is smaller than the sum of its proper divisors (1756288590).

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

1143381810 is a wasteful number, since it uses less digits than its factorization.

1143381810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7755.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1143381810 is about 33813.9292304222. The cubic root of 1143381810 is about 1045.6758857949.

The spelling of 1143381810 in words is "one billion, one hundred forty-three million, three hundred eighty-one thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 269 285 538 570 807 1345 1614 2690 4035 5111 7457 8070 10222 14914 15333 22371 25555 30666 37285 44742 51110 74570 76665 111855 141683 153330 223710 283366 425049 708415 850098 1416830 2005933 2125245 4011866 4250490 6017799 10029665 12035598 20059330 30088995 38112727 60177990 76225454 114338181 190563635 228676362 381127270 571690905 1143381810