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1240253320 = 235375411549
BaseRepresentation
bin100100111101100…
…1100001110001000
310012102202101201011
41021323030032020
510020001101240
6323022533304
742506656615
oct11173141610
93172671634
101240253320
115870aa749
122a7437234
13169c49407
14baa0b50c
1573d3c6ea
hex49ecc388

1240253320 has 64 divisors (see below), whose sum is σ = 2873142000. Its totient is φ = 481489920.

The previous prime is 1240253303. The next prime is 1240253341. The reversal of 1240253320 is 233520421.

It can be written as a sum of positive squares in 8 ways, for example, as 648109764 + 592143556 = 25458^2 + 24334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1240253291 and 1240253300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 799906 + ... + 801454.

Almost surely, 21240253320 is an apocalyptic number.

1240253320 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 1240253320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436571000).

1240253320 is an abundant number, since it is smaller than the sum of its proper divisors (1632888680).

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

1240253320 is a wasteful number, since it uses less digits than its factorization.

1240253320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2134 counting only the distinct ones).

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

The square root of 1240253320 is about 35217.2304419300. The cubic root of 1240253320 is about 1074.4102248966.

Adding to 1240253320 its reverse (233520421), we get a palindrome (1473773741).

The spelling of 1240253320 in words is "one billion, two hundred forty million, two hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 541 740 1082 1480 1549 2164 2705 3098 4328 5410 6196 7745 10820 12392 15490 20017 21640 30980 40034 57313 61960 80068 100085 114626 160136 200170 229252 286565 400340 458504 573130 800680 838009 1146260 1676018 2292520 3352036 4190045 6704072 8380090 16760180 31006333 33520360 62012666 124025332 155031665 248050664 310063330 620126660 1240253320