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213240405 = 35722231301
BaseRepresentation
bin11001011010111…
…00101001010101
3112212020201211210
430231130221111
5414042143110
633054252033
75166341100
oct1455345125
9485221753
10213240405
11aa406744
125b4b7019
1335241a71
142046b737
1513ac2520
hexcb5ca55

213240405 has 48 divisors (see below), whose sum is σ = 398974464. Its totient is φ = 96969600.

The previous prime is 213240403. The next prime is 213240409. The reversal of 213240405 is 504042312.

It is not a de Polignac number, because 213240405 - 21 = 213240403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213240403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163255 + ... + 164555.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2213240405 is an apocalyptic number.

It is an amenable number.

213240405 is a deficient number, since it is larger than the sum of its proper divisors (185734059).

213240405 is a wasteful number, since it uses less digits than its factorization.

213240405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 213240405 is about 14602.7533362719. The cubic root of 213240405 is about 597.4338599665.

Adding to 213240405 its reverse (504042312), we get a palindrome (717282717).

The spelling of 213240405 in words is "two hundred thirteen million, two hundred forty thousand, four hundred five".

Divisors: 1 3 5 7 15 21 35 49 105 147 223 245 669 735 1115 1301 1561 3345 3903 4683 6505 7805 9107 10927 19515 23415 27321 32781 45535 54635 63749 136605 163905 191247 290123 318745 870369 956235 1450615 2030861 4351845 6092583 10154305 14216027 30462915 42648081 71080135 213240405