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1253340220 = 22511371071439
BaseRepresentation
bin100101010110100…
…0111010000111100
310020100101021120011
41022231013100330
510031323341340
6324211233004
743026134056
oct11255072074
93210337504
101253340220
11593529070
122ab8a8764
1316c87c042
14bc6568d6
15750750ea
hex4ab4743c

1253340220 has 96 divisors (see below), whose sum is σ = 2978519040. Its totient is φ = 438992640.

The previous prime is 1253340203. The next prime is 1253340223. The reversal of 1253340220 is 220433521.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1253340191 and 1253340200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253340223) 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, 870261 + ... + 871699.

It is an arithmetic number, because the mean of its divisors is an integer number (31026240).

Almost surely, 21253340220 is an apocalyptic number.

1253340220 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 1253340220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489259520).

1253340220 is an abundant number, since it is smaller than the sum of its proper divisors (1725178820).

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

1253340220 is a wasteful number, since it uses less digits than its factorization.

1253340220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 1253340220 is about 35402.5453887146. The cubic root of 1253340220 is about 1078.1759964060.

Adding to 1253340220 its reverse (220433521), we get a palindrome (1473773741).

The spelling of 1253340220 in words is "one billion, two hundred fifty-three million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 107 110 148 185 214 220 370 407 428 535 740 814 1070 1177 1439 1628 2035 2140 2354 2878 3959 4070 4708 5756 5885 7195 7918 8140 11770 14390 15829 15836 19795 23540 28780 31658 39590 43549 53243 63316 79145 79180 87098 106486 153973 158290 174196 212972 217745 266215 307946 316580 435490 532430 585673 615892 769865 870980 1064860 1171346 1539730 1693703 2342692 2928365 3079460 3387406 5697001 5856730 6774812 8468515 11394002 11713460 16937030 22788004 28485005 33874060 56970010 62667011 113940020 125334022 250668044 313335055 626670110 1253340220