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1329471990 = 23257111923439
BaseRepresentation
bin100111100111110…
…0010000111110110
310102122122011201100
41033033202013312
510210321100430
6335531110530
744642216430
oct11717420766
93378564640
101329471990
116224a7a90
123112a2446
13182586822
14c87d3650
157bab2960
hex4f3e21f6

1329471990 has 384 divisors, whose sum is σ = 4744396800. Its totient is φ = 249765120.

The previous prime is 1329471959. The next prime is 1329472021. The reversal of 1329471990 is 991749231.

It is an interprime number because it is at equal distance from previous prime (1329471959) and next prime (1329472021).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3028191 + ... + 3028629.

It is an arithmetic number, because the mean of its divisors is an integer number (12355200).

Almost surely, 21329471990 is an apocalyptic number.

1329471990 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 1329471990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372198400).

1329471990 is an abundant number, since it is smaller than the sum of its proper divisors (3414924810).

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

1329471990 is a wasteful number, since it uses less digits than its factorization.

1329471990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1329471990 is about 36461.9252097308. The cubic root of 1329471990 is about 1099.5788994215.

It can be divided in two parts, 13 and 29471990, that added together give a triangular number (29472003 = T7677).

The spelling of 1329471990 in words is "one billion, three hundred twenty-nine million, four hundred seventy-one thousand, nine hundred ninety".