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1241769984 = 21137132221
BaseRepresentation
bin100101000000011…
…1110100000000000
310012112121110011220
41022000332200000
510020343114414
6323115235040
742525604440
oct11200764000
93175543156
101241769984
11587a46194
122a7a48a80
1316a35a850
14bacc4120
157403bca9
hex4a03e800

1241769984 has 192 divisors, whose sum is σ = 4076392320. Its totient is φ = 327352320.

The previous prime is 1241769979. The next prime is 1241770009. The reversal of 1241769984 is 4899671421.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557994 + ... + 560214.

It is an arithmetic number, because the mean of its divisors is an integer number (21231210).

Almost surely, 21241769984 is an apocalyptic number.

1241769984 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 1241769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038196160).

1241769984 is an abundant number, since it is smaller than the sum of its proper divisors (2834622336).

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

1241769984 is a wasteful number, since it uses less digits than its factorization.

1241769984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2246 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 1241769984 is about 35238.7568452691. The cubic root of 1241769984 is about 1074.8479998537.

The spelling of 1241769984 in words is "one billion, two hundred forty-one million, seven hundred sixty-nine thousand, nine hundred eighty-four".