Search a number
-
+
213074730 = 2325111371571
BaseRepresentation
bin11001011001101…
…00001100101010
3112211221022120200
430230310030222
5414021342410
633050533030
75165051061
oct1454641452
9484838520
10213074730
11aa303220
125b437176
13351b452b
14204271d8
1513a8d3c0
hexcb3432a

213074730 has 96 divisors (see below), whose sum is σ = 609156288. Its totient is φ = 51244800.

The previous prime is 213074699. The next prime is 213074731. The reversal of 213074730 is 37470312.

It is a junction number, because it is equal to n+sod(n) for n = 213074694 and 213074703.

It is not an unprimeable number, because it can be changed into a prime (213074731) 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 47 ways as a sum of consecutive naturals, for example, 134845 + ... + 136415.

It is an arithmetic number, because the mean of its divisors is an integer number (6345378).

Almost surely, 2213074730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213074730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304578144).

213074730 is an abundant number, since it is smaller than the sum of its proper divisors (396081558).

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

213074730 is a wasteful number, since it uses less digits than its factorization.

213074730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 213074730 is about 14597.0795024210. The cubic root of 213074730 is about 597.2790964581.

The spelling of 213074730 in words is "two hundred thirteen million, seventy-four thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 137 165 198 274 330 411 495 685 822 990 1233 1370 1507 1571 2055 2466 3014 3142 4110 4521 4713 6165 7535 7855 9042 9426 12330 13563 14139 15070 15710 17281 22605 23565 27126 28278 34562 45210 47130 51843 67815 70695 86405 103686 135630 141390 155529 172810 215227 259215 311058 430454 518430 645681 777645 1076135 1291362 1555290 1937043 2152270 2367497 3228405 3874086 4734994 6456810 7102491 9685215 11837485 14204982 19370430 21307473 23674970 35512455 42614946 71024910 106537365 213074730