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1253490300 = 2232527319079
BaseRepresentation
bin100101010110110…
…1011111001111100
310020100122220102200
41022231223321330
510031343142200
6324214351500
743030330446
oct11255537174
93210586380
101253490300
115936208a7
122ab95b590
1316c90244a
14bc695496
15750a4800
hex4ab6be7c

1253490300 has 108 divisors (see below), whose sum is σ = 3983026320. Its totient is φ = 329667840.

The previous prime is 1253490269. The next prime is 1253490347. The reversal of 1253490300 is 30943521.

1253490300 is a `hidden beast` number, since 12 + 5 + 349 + 0 + 300 = 666.

1253490300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56161 + ... + 75239.

Almost surely, 21253490300 is an apocalyptic number.

1253490300 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 1253490300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991513160).

1253490300 is an abundant number, since it is smaller than the sum of its proper divisors (2729536020).

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

1253490300 is a wasteful number, since it uses less digits than its factorization.

1253490300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19172 (or 19162 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1253490300 is about 35404.6649468682. The cubic root of 1253490300 is about 1078.2190297321.

The spelling of 1253490300 in words is "one billion, two hundred fifty-three million, four hundred ninety thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 73 75 90 100 146 150 180 219 225 292 300 365 438 450 657 730 876 900 1095 1314 1460 1825 2190 2628 3285 3650 4380 5475 6570 7300 10950 13140 16425 19079 21900 32850 38158 57237 65700 76316 95395 114474 171711 190790 228948 286185 343422 381580 476975 572370 686844 858555 953950 1144740 1392767 1430925 1717110 1907900 2785534 2861850 3434220 4178301 4292775 5571068 5723700 6963835 8356602 8585550 12534903 13927670 16713204 17171100 20891505 25069806 27855340 34819175 41783010 50139612 62674515 69638350 83566020 104457525 125349030 139276700 208915050 250698060 313372575 417830100 626745150 1253490300