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213103240 = 23571941977
BaseRepresentation
bin11001011001110…
…11001010001000
3112211222202200121
430230323022020
5414023300430
633051313024
75165230150
oct1454731210
9484882617
10213103240
11aa322689
125b44b774
13351c44bc
1420433760
1513a96a7a
hexcb3b288

213103240 has 128 divisors (see below), whose sum is σ = 591494400. Its totient is φ = 67461120.

The previous prime is 213103237. The next prime is 213103249. The reversal of 213103240 is 42301312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213103249) 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 31 ways as a sum of consecutive naturals, for example, 217632 + ... + 218608.

It is an arithmetic number, because the mean of its divisors is an integer number (4621050).

Almost surely, 2213103240 is an apocalyptic number.

213103240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213103240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295747200).

213103240 is an abundant number, since it is smaller than the sum of its proper divisors (378391160).

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

213103240 is a wasteful number, since it uses less digits than its factorization.

213103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 213103240 is about 14598.0560349658. The cubic root of 213103240 is about 597.3057344794.

Adding to 213103240 its reverse (42301312), we get a palindrome (255404552).

The spelling of 213103240 in words is "two hundred thirteen million, one hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 41 56 70 76 82 95 133 140 152 164 190 205 266 280 287 328 380 410 532 574 665 760 779 820 977 1064 1148 1330 1435 1558 1640 1954 2296 2660 2870 3116 3895 3908 4885 5320 5453 5740 6232 6839 7790 7816 9770 10906 11480 13678 15580 18563 19540 21812 27265 27356 31160 34195 37126 39080 40057 43624 54530 54712 68390 74252 80114 92815 109060 129941 136780 148504 160228 185630 200285 218120 259882 273560 280399 320456 371260 400570 519764 560798 649705 742520 761083 801140 1039528 1121596 1299410 1401995 1522166 1602280 2243192 2598820 2803990 3044332 3805415 5197640 5327581 5607980 6088664 7610830 10655162 11215960 15221660 21310324 26637905 30443320 42620648 53275810 106551620 213103240