Search a number
-
+
1413533000 = 235311177559
BaseRepresentation
bin101010001000000…
…1100110101001000
310122111210220202002
41110100030311020
510343331024000
6352132530132
750012555315
oct12420146510
93574726662
101413533000
116659a22a0
12335480948
13196b09479
14d5a35d0c
15841698d5
hex5440cd48

1413533000 has 128 divisors (see below), whose sum is σ = 3821126400. Its totient is φ = 483712000.

The previous prime is 1413532997. The next prime is 1413533041. The reversal of 1413533000 is 3353141.

It is a happy number.

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

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, 183221 + ... + 190779.

It is an arithmetic number, because the mean of its divisors is an integer number (29852550).

Almost surely, 21413533000 is an apocalyptic number.

1413533000 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 1413533000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910563200).

1413533000 is an abundant number, since it is smaller than the sum of its proper divisors (2407593400).

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

1413533000 is a wasteful number, since it uses less digits than its factorization.

1413533000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7608 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1413533000 is about 37596.9812617981. The cubic root of 1413533000 is about 1122.2819651813.

Adding to 1413533000 its reverse (3353141), we get a palindrome (1416886141).

The spelling of 1413533000 in words is "one billion, four hundred thirteen million, five hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 125 136 170 187 200 220 250 275 340 374 425 440 500 550 680 748 850 935 1000 1100 1375 1496 1700 1870 2125 2200 2750 3400 3740 4250 4675 5500 7480 7559 8500 9350 11000 15118 17000 18700 23375 30236 37400 37795 46750 60472 75590 83149 93500 128503 151180 166298 187000 188975 257006 302360 332596 377950 415745 514012 642515 665192 755900 831490 944875 1028024 1285030 1413533 1511800 1662980 1889750 2078725 2570060 2827066 3212575 3325960 3779500 4157450 5140120 5654132 6425150 7067665 7559000 8314900 10393625 11308264 12850300 14135330 16062875 16629800 20787250 25700600 28270660 32125750 35338325 41574500 56541320 64251500 70676650 83149000 128503000 141353300 176691625 282706600 353383250 706766500 1413533000