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1253302416 = 243315119213
BaseRepresentation
bin100101010110011…
…1110000010010000
310020100022100201000
41022230332002100
510031321134131
6324210342000
743025615622
oct11254760220
93210270630
101253302416
11593502723
122ab88a900
1316c867a82
14bc646c12
1575068ce6
hex4ab3e090

1253302416 has 80 divisors (see below), whose sum is σ = 3621454720. Its totient is φ = 414979200.

The previous prime is 1253302411. The next prime is 1253302429. The reversal of 1253302416 is 6142033521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1253302416.

It is not an unprimeable number, because it can be changed into a prime (1253302411) by changing a digit.

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, 55626 + ... + 74838.

It is an arithmetic number, because the mean of its divisors is an integer number (45268184).

Almost surely, 21253302416 is an apocalyptic number.

1253302416 is a gapful number since it is divisible by the number (16) 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 1253302416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810727360).

1253302416 is an abundant number, since it is smaller than the sum of its proper divisors (2368152304).

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

1253302416 is a wasteful number, since it uses less digits than its factorization.

1253302416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19381 (or 19369 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1253302416 is about 35402.0114682768. The cubic root of 1253302416 is about 1078.1651560998.

Adding to 1253302416 its reverse (6142033521), we get a palindrome (7395335937).

The spelling of 1253302416 in words is "one billion, two hundred fifty-three million, three hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 151 216 302 432 453 604 906 1208 1359 1812 2416 2718 3624 4077 5436 7248 8154 10872 16308 19213 21744 32616 38426 57639 65232 76852 115278 153704 172917 230556 307408 345834 461112 518751 691668 922224 1037502 1383336 2075004 2766672 2901163 4150008 5802326 8300016 8703489 11604652 17406978 23209304 26110467 34813956 46418608 52220934 69627912 78331401 104441868 139255824 156662802 208883736 313325604 417767472 626651208 1253302416