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1253004320 = 25537920663
BaseRepresentation
bin100101010101111…
…0101010000100000
310020022202012210102
41022223311100200
510031232114240
6324200121532
743023234551
oct11253652040
93208665712
101253004320
11593319767
122ab7662a8
1316c792199
14bc5aa328
157500a815
hex4aaf5420

1253004320 has 48 divisors (see below), whose sum is σ = 2968176960. Its totient is φ = 499855104.

The previous prime is 1253004317. The next prime is 1253004331. The reversal of 1253004320 is 234003521.

It is a happy number.

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 = 1253004292 and 1253004301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50309 + ... + 70971.

It is an arithmetic number, because the mean of its divisors is an integer number (61837020).

Almost surely, 21253004320 is an apocalyptic number.

1253004320 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 1253004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484088480).

1253004320 is an abundant number, since it is smaller than the sum of its proper divisors (1715172640).

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

1253004320 is a wasteful number, since it uses less digits than its factorization.

1253004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21057 (or 21049 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1253004320 is about 35397.8010616479. The cubic root of 1253004320 is about 1078.0796693620.

Adding to 1253004320 its reverse (234003521), we get a palindrome (1487007841).

The spelling of 1253004320 in words is "one billion, two hundred fifty-three million, four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 379 758 1516 1895 3032 3790 6064 7580 12128 15160 20663 30320 41326 60640 82652 103315 165304 206630 330608 413260 661216 826520 1653040 3306080 7831277 15662554 31325108 39156385 62650216 78312770 125300432 156625540 250600864 313251080 626502160 1253004320