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1125053536 = 25195979397
BaseRepresentation
bin100001100001110…
…1111010001100000
32220101222122022111
41003003233101200
54301003203121
6303345445104
736610540315
oct10303572140
92811878274
101125053536
11528077412
12274940794
1314c113369
14a95c0d0c
1568b842e1
hex430ef460

1125053536 has 96 divisors (see below), whose sum is σ = 2407104000. Its totient is φ = 515953152.

The previous prime is 1125053507. The next prime is 1125053537. The reversal of 1125053536 is 6353505211.

It is a super-2 number, since 2×11250535362 = 2531490917732206592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1125053498 and 1125053507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125053537) 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, 2833690 + ... + 2834086.

It is an arithmetic number, because the mean of its divisors is an integer number (25074000).

Almost surely, 21125053536 is an apocalyptic number.

1125053536 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 1125053536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203552000).

1125053536 is an abundant number, since it is smaller than the sum of its proper divisors (1282050464).

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

1125053536 is a wasteful number, since it uses less digits than its factorization.

1125053536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 1125053536 is about 33541.8177205708. The cubic root of 1125053536 is about 1040.0584089483.

Adding to 1125053536 its reverse (6353505211), we get a palindrome (7478558747).

The spelling of 1125053536 in words is "one billion, one hundred twenty-five million, fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 59 76 79 118 152 158 236 304 316 397 472 608 632 794 944 1121 1264 1501 1588 1888 2242 2528 3002 3176 4484 4661 6004 6352 7543 8968 9322 12008 12704 15086 17936 18644 23423 24016 30172 31363 35872 37288 46846 48032 60344 62726 74576 88559 93692 120688 125452 149152 177118 187384 241376 250904 354236 374768 445037 501808 595897 708472 749536 890074 1003616 1191794 1416944 1780148 1850417 2383588 2833888 3560296 3700834 4767176 7120592 7401668 9534352 14241184 14803336 19068704 29606672 35157923 59213344 70315846 140631692 281263384 562526768 1125053536