Search a number
-
+
1142114520 = 233537713623
BaseRepresentation
bin100010000010011…
…0100100011011000
32221121002102120210
41010010310203120
54314340131040
6305155251120
740205545641
oct10404644330
92847072523
101142114520
1153676a5a8
1227a5a9aa0
13152807b11
14ab9826c8
156a404480
hex441348d8

1142114520 has 128 divisors (see below), whose sum is σ = 3569495040. Its totient is φ = 292078080.

The previous prime is 1142114497. The next prime is 1142114521. The reversal of 1142114520 is 254112411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142114521) by changing a digit.

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, 313429 + ... + 317051.

It is an arithmetic number, because the mean of its divisors is an integer number (27886680).

Almost surely, 21142114520 is an apocalyptic number.

1142114520 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 1142114520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784747520).

1142114520 is an abundant number, since it is smaller than the sum of its proper divisors (2427380520).

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

1142114520 is a wasteful number, since it uses less digits than its factorization.

1142114520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1142114520 is about 33795.1848641193. The cubic root of 1142114520 is about 1045.2894110764.

Adding to 1142114520 its reverse (254112411), we get a palindrome (1396226931).

The spelling of 1142114520 in words is "one billion, one hundred forty-two million, one hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 71 74 111 120 142 148 185 213 222 284 296 355 370 426 444 555 568 710 740 852 888 1065 1110 1420 1480 1704 2130 2220 2627 2840 3623 4260 4440 5254 7246 7881 8520 10508 10869 13135 14492 15762 18115 21016 21738 26270 28984 31524 36230 39405 43476 52540 54345 63048 72460 78810 86952 105080 108690 134051 144920 157620 217380 257233 268102 315240 402153 434760 514466 536204 670255 771699 804306 1028932 1072408 1286165 1340510 1543398 1608612 2010765 2057864 2572330 2681020 3086796 3217224 3858495 4021530 5144660 5362040 6173592 7716990 8043060 9517621 10289320 15433980 16086120 19035242 28552863 30867960 38070484 47588105 57105726 76140968 95176210 114211452 142764315 190352420 228422904 285528630 380704840 571057260 1142114520