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1296050112 = 26337109983
BaseRepresentation
bin100110101000000…
…0010011111000000
310100022202011112000
41031100002133000
510123242100422
6332334504000
744055146520
oct11520023700
93308664460
101296050112
1160564a6a5
12302065000
13178684176
14c41b3680
1578baecac
hex4d4027c0

1296050112 has 224 divisors, whose sum is σ = 4398873600. Its totient is φ = 366529536.

The previous prime is 1296050111. The next prime is 1296050137. The reversal of 1296050112 is 2110506921.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296050111) 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, 1317973 + ... + 1318955.

Almost surely, 21296050112 is an apocalyptic number.

1296050112 is a gapful number since it is divisible by the number (12) 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 1296050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199436800).

1296050112 is an abundant number, since it is smaller than the sum of its proper divisors (3102823488).

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

1296050112 is a wasteful number, since it uses less digits than its factorization.

1296050112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1296050112 is about 36000.6959932721. The cubic root of 1296050112 is about 1090.2864079174.

The spelling of 1296050112 in words is "one billion, two hundred ninety-six million, fifty thousand, one hundred twelve".