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1125067600 = 245212722147
BaseRepresentation
bin100001100001111…
…0010101101010000
32220102000100121101
41003003302231100
54301004130400
6303350034144
736610626316
oct10303625520
92812010541
101125067600
11528086a38
12274948954
1314c119897
14a95c60b6
1568b8856a
hex430f2b50

1125067600 has 60 divisors (see below), whose sum is σ = 2724381184. Its totient is φ = 446463360.

The previous prime is 1125067579. The next prime is 1125067627. The reversal of 1125067600 is 67605211.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 39727 + ... + 61873.

Almost surely, 21125067600 is an apocalyptic number.

1125067600 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 1125067600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362190592).

1125067600 is an abundant number, since it is smaller than the sum of its proper divisors (1599313584).

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

1125067600 is a wasteful number, since it uses less digits than its factorization.

1125067600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22292 (or 22281 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 1125067600 is about 33542.0273686609. The cubic root of 1125067600 is about 1040.0627427630.

The spelling of 1125067600 in words is "one billion, one hundred twenty-five million, sixty-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 127 200 254 400 508 635 1016 1270 2032 2540 3175 5080 6350 10160 12700 22147 25400 44294 50800 88588 110735 177176 221470 354352 442940 553675 885880 1107350 1771760 2214700 2812669 4429400 5625338 8858800 11250676 14063345 22501352 28126690 45002704 56253380 70316725 112506760 140633450 225013520 281266900 562533800 1125067600