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1253350032 = 2431116314563
BaseRepresentation
bin100101010110100…
…1001101010010000
310020100101210000120
41022231021222100
510031324200112
6324211350240
743026204504
oct11255115220
93210353016
101253350032
11593535480
122ab8b2380
1316c88364c
14bc65a304
1575077e8c
hex4ab49a90

1253350032 has 80 divisors (see below), whose sum is σ = 3554082048. Its totient is φ = 377447040.

The previous prime is 1253350013. The next prime is 1253350061. The reversal of 1253350032 is 2300533521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1253349984 and 1253350011.

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 15 ways as a sum of consecutive naturals, for example, 78783 + ... + 93345.

Almost surely, 21253350032 is an apocalyptic number.

1253350032 is a gapful number since it is divisible by the number (12) 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 1253350032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777041024).

1253350032 is an abundant number, since it is smaller than the sum of its proper divisors (2300732016).

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

1253350032 is a wasteful number, since it uses less digits than its factorization.

1253350032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14748 (or 14742 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 1253350032 is about 35402.6839660498. The cubic root of 1253350032 is about 1078.1788099637.

Adding to 1253350032 its reverse (2300533521), we get a palindrome (3553883553).

The spelling of 1253350032 in words is "one billion, two hundred fifty-three million, three hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 163 176 264 326 489 528 652 978 1304 1793 1956 2608 3586 3912 5379 7172 7824 10758 14344 14563 21516 28688 29126 43032 43689 58252 86064 87378 116504 160193 174756 233008 320386 349512 480579 640772 699024 961158 1281544 1922316 2373769 2563088 3844632 4747538 7121307 7689264 9495076 14242614 18990152 26111459 28485228 37980304 52222918 56970456 78334377 104445836 113940912 156668754 208891672 313337508 417783344 626675016 1253350032