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13331970 = 2325413613
BaseRepresentation
bin110010110110…
…111000000010
3221002100000200
4302312320002
511403110340
61153430030
7221214501
oct62667002
927070020
1013331970
117586563
12456b316
1329ba352
141ab0838
151285330
hexcb6e02

13331970 has 48 divisors (see below), whose sum is σ = 35518392. Its totient is φ = 3467520.

The previous prime is 13331963. The next prime is 13331987. The reversal of 13331970 is 7913331.

It can be written as a sum of positive squares in 4 ways, for example, as 2461761 + 10870209 = 1569^2 + 3297^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1884 + ... + 5496.

Almost surely, 213331970 is an apocalyptic number.

13331970 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 13331970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17759196).

13331970 is an abundant number, since it is smaller than the sum of its proper divisors (22186422).

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

13331970 is a wasteful number, since it uses less digits than its factorization.

13331970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 13331970 is about 3651.2970298238. The cubic root of 13331970 is about 237.1181379719.

The spelling of 13331970 in words is "thirteen million, three hundred thirty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3613 3690 7226 10839 18065 21678 32517 36130 54195 65034 108390 148133 162585 296266 325170 444399 740665 888798 1333197 1481330 2221995 2666394 4443990 6665985 13331970