Search a number
-
+
13970385 = 32511132167
BaseRepresentation
bin110101010010…
…101111010001
3222021202202200
4311102233101
512034023020
61215233413
7226513662
oct65225721
928252680
1013970385
117982180
124818869
132b81b00
141bd9369
15135e590
hexd52bd1

13970385 has 72 divisors (see below), whose sum is σ = 28776384. Its totient is φ = 6215040.

The previous prime is 13970353. The next prime is 13970387. The reversal of 13970385 is 58307931.

It is not a de Polignac number, because 13970385 - 25 = 13970353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13970387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83572 + ... + 83738.

It is an arithmetic number, because the mean of its divisors is an integer number (399672).

Almost surely, 213970385 is an apocalyptic number.

13970385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13970385 is an abundant number, since it is smaller than the sum of its proper divisors (14805999).

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

13970385 is a wasteful number, since it uses less digits than its factorization.

13970385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 13970385 is about 3737.6978208518. The cubic root of 13970385 is about 240.8441627241.

The spelling of 13970385 in words is "thirteen million, nine hundred seventy thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 167 169 195 429 495 501 507 585 715 835 845 1287 1503 1521 1837 1859 2145 2171 2505 2535 5511 5577 6435 6513 7515 7605 9185 9295 10855 16533 16731 19539 23881 27555 27885 28223 32565 71643 82665 83655 84669 97695 119405 141115 214929 254007 310453 358215 423345 931359 1074645 1270035 1552265 2794077 4656795 13970385