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1306123398 = 23272562411
BaseRepresentation
bin100110111011001…
…1101110010000110
310101000200221110200
41031312131302012
510133331422043
6333334431330
744236602636
oct11566356206
93330627420
101306123398
116102aa928
12305502546
1317a7a01a8
14c56766c6
15799ee7d3
hex4dd9dc86

1306123398 has 12 divisors (see below), whose sum is σ = 2829934068. Its totient is φ = 435374460.

The previous prime is 1306123397. The next prime is 1306123411. The reversal of 1306123398 is 8933216031.

1306123398 is a `hidden beast` number, since 1 + 3 + 0 + 612 + 3 + 39 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306123397) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 36281188 + ... + 36281223.

It is an arithmetic number, because the mean of its divisors is an integer number (235827839).

Almost surely, 21306123398 is an apocalyptic number.

1306123398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1306123398 is an abundant number, since it is smaller than the sum of its proper divisors (1523810670).

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

1306123398 is a wasteful number, since it uses less digits than its factorization.

1306123398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72562419 (or 72562416 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1306123398 is about 36140.3292458716. The cubic root of 1306123398 is about 1093.1037977601.

The spelling of 1306123398 in words is "one billion, three hundred six million, one hundred twenty-three thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 72562411 145124822 217687233 435374466 653061699 1306123398