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1125601410 = 235592292777
BaseRepresentation
bin100001100010111…
…0101000010000010
32220110000110212010
41003011311002002
54301123221120
6303405313350
736615311523
oct10305650202
92813013763
101125601410
11528410aaa
12274b65856
1314c27584b
14a96c484a
1568c417e0
hex43175082

1125601410 has 64 divisors (see below), whose sum is σ = 2760220800. Its totient is φ = 293678592.

The previous prime is 1125601357. The next prime is 1125601417. The reversal of 1125601410 is 141065211.

It is not an unprimeable number, because it can be changed into a prime (1125601417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403942 + ... + 406718.

It is an arithmetic number, because the mean of its divisors is an integer number (43128450).

Almost surely, 21125601410 is an apocalyptic number.

1125601410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125601410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380110400).

1125601410 is an abundant number, since it is smaller than the sum of its proper divisors (1634619390).

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

1125601410 is a wasteful number, since it uses less digits than its factorization.

1125601410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1125601410 is about 33549.9837555847. The cubic root of 1125601410 is about 1040.2272093568.

Adding to 1125601410 its reverse (141065211), we get a palindrome (1266666621).

The spelling of 1125601410 in words is "one billion, one hundred twenty-five million, six hundred one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 229 295 354 458 590 687 885 1145 1374 1770 2290 2777 3435 5554 6870 8331 13511 13885 16662 27022 27770 40533 41655 67555 81066 83310 135110 163843 202665 327686 405330 491529 635933 819215 983058 1271866 1638430 1907799 2457645 3179665 3815598 4915290 6359330 9538995 19077990 37520047 75040094 112560141 187600235 225120282 375200470 562800705 1125601410