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1249051104 = 253677649
BaseRepresentation
bin100101001110011…
…0000000111100000
310020001022101000000
41022130300013200
510024224113404
6323535300000
742644521260
oct11234600740
93201271000
101249051104
11591069644
122aa37a600
1316ba099c2
14bbc5b7a0
15749c9339
hex4a7301e0

1249051104 has 168 divisors, whose sum is σ = 4214170800. Its totient is φ = 356825088.

The previous prime is 1249051093. The next prime is 1249051201. The reversal of 1249051104 is 4011509421.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 159472 + ... + 167120.

It is an arithmetic number, because the mean of its divisors is an integer number (25084350).

Almost surely, 21249051104 is an apocalyptic number.

1249051104 is a gapful number since it is divisible by the number (14) 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 1249051104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107085400).

1249051104 is an abundant number, since it is smaller than the sum of its proper divisors (2965119696).

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

1249051104 is an frugal number, since it uses more digits than its factorization.

1249051104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7684 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1249051104 is about 35341.9170957095. The cubic root of 1249051104 is about 1076.9446980861.

The spelling of 1249051104 in words is "one billion, two hundred forty-nine million, fifty-one thousand, one hundred four".