Search a number
-
+
1143004520 = 2357171092203
BaseRepresentation
bin100010000100000…
…1101110101101000
32221122202122102202
41010020031311220
54320102121040
6305230315332
740216243460
oct10410156550
92848678382
101143004520
11537218239
1227a958b48
13152a59c48
14abb34ba0
156a52d015
hex4420dd68

1143004520 has 128 divisors (see below), whose sum is σ = 3142022400. Its totient is φ = 365285376.

The previous prime is 1143004507. The next prime is 1143004531. The reversal of 1143004520 is 254003411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1143004492 and 1143004501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517739 + ... + 519941.

It is an arithmetic number, because the mean of its divisors is an integer number (24547050).

Almost surely, 21143004520 is an apocalyptic number.

1143004520 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 1143004520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571011200).

1143004520 is an abundant number, since it is smaller than the sum of its proper divisors (1999017880).

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

1143004520 is a wasteful number, since it uses less digits than its factorization.

1143004520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1143004520 is about 33808.3498562116. The cubic root of 1143004520 is about 1045.5608567194.

Adding to 1143004520 its reverse (254003411), we get a palindrome (1397007931).

The spelling of 1143004520 in words is "one billion, one hundred forty-three million, four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 109 119 136 140 170 218 238 280 340 436 476 545 595 680 763 872 952 1090 1190 1526 1853 2180 2203 2380 3052 3706 3815 4360 4406 4760 6104 7412 7630 8812 9265 11015 12971 14824 15260 15421 17624 18530 22030 25942 30520 30842 37060 37451 44060 51884 61684 64855 74120 74902 77105 88120 103768 123368 129710 149804 154210 187255 240127 259420 262157 299608 308420 374510 480254 518840 524314 616840 749020 960508 1048628 1200635 1310785 1498040 1680889 1921016 2097256 2401270 2621570 3361778 4082159 4802540 5243140 6723556 8164318 8404445 9605080 10486280 13447112 16328636 16808890 20410795 28575113 32657272 33617780 40821590 57150226 67235560 81643180 114300452 142875565 163286360 228600904 285751130 571502260 1143004520