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1289060352 = 215333147
BaseRepresentation
bin100110011010101…
…1000000000000000
310022211121001101000
41030311120000000
510114444412402
6331525012000
743641555306
oct11465300000
93284531330
101289060352
11601706138
122bb854000
131770a7808
14c32b4276
157827dc1c
hex4cd58000

1289060352 has 256 divisors, whose sum is σ = 4026470400. Its totient is φ = 406978560.

The previous prime is 1289060341. The next prime is 1289060389. The reversal of 1289060352 is 2530609821.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 27426793 + ... + 27426839.

It is an arithmetic number, because the mean of its divisors is an integer number (15728400).

Almost surely, 21289060352 is an apocalyptic number.

1289060352 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 1289060352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013235200).

1289060352 is an abundant number, since it is smaller than the sum of its proper divisors (2737410048).

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

1289060352 is an frugal number, since it uses more digits than its factorization.

1289060352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1289060352 is about 35903.4866273458. The cubic root of 1289060352 is about 1088.3228568953.

The spelling of 1289060352 in words is "one billion, two hundred eighty-nine million, sixty thousand, three hundred fifty-two".