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1329960870 = 23557411907
BaseRepresentation
bin100111101000101…
…1001011110100110
310102200120000100000
41033101121132212
510210432221440
6335545402130
744646323640
oct11721313646
93380500300
101329960870
11622801317
12311499346
131826c81c4
14c88bd890
157bb5c730
hex4f4597a6

1329960870 has 192 divisors, whose sum is σ = 4200408576. Its totient is φ = 296421120.

The previous prime is 1329960869. The next prime is 1329960913. The reversal of 1329960870 is 780699231.

1329960870 is a `hidden beast` number, since 1 + 32 + 9 + 9 + 608 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 696457 + ... + 698363.

It is an arithmetic number, because the mean of its divisors is an integer number (21877128).

Almost surely, 21329960870 is an apocalyptic number.

1329960870 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 1329960870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100204288).

1329960870 is an abundant number, since it is smaller than the sum of its proper divisors (2870447706).

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

1329960870 is a wasteful number, since it uses less digits than its factorization.

1329960870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1329960870 is about 36468.6285730626. The cubic root of 1329960870 is about 1099.7136637635.

The spelling of 1329960870 in words is "one billion, three hundred twenty-nine million, nine hundred sixty thousand, eight hundred seventy".