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12961998 = 233753647
BaseRepresentation
bin110001011100…
…100011001110
3220101112112000
4301130203032
511304240443
61141453130
7215114040
oct61344316
926345460
1012961998
1173535a5
1244111a6
1328bab2a
141a15a90
1512108d3
hexc5c8ce

12961998 has 64 divisors (see below), whose sum is σ = 33592320. Its totient is φ = 3627936.

The previous prime is 12961987. The next prime is 12962003. The reversal of 12961998 is 89916921.

12961998 is a `hidden beast` number, since 1 + 29 + 619 + 9 + 8 = 666.

12961998 is nontrivially palindromic in base 8.

12961998 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×129619983 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19711 + ... + 20357.

It is an arithmetic number, because the mean of its divisors is an integer number (524880).

Almost surely, 212961998 is an apocalyptic number.

12961998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12961998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796160).

12961998 is an abundant number, since it is smaller than the sum of its proper divisors (20630322).

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

12961998 is a wasteful number, since it uses less digits than its factorization.

12961998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 12961998 is about 3600.2774893055. The cubic root of 12961998 is about 234.9041286918.

The spelling of 12961998 in words is "twelve million, nine hundred sixty-one thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 647 742 954 1113 1294 1431 1941 2226 2862 3339 3882 4529 5823 6678 9058 10017 11646 13587 17469 20034 27174 34291 34938 40761 68582 81522 102873 122283 205746 240037 244566 308619 480074 617238 720111 925857 1440222 1851714 2160333 4320666 6480999 12961998