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213433542 = 23471071759
BaseRepresentation
bin11001011100010…
…11110011000110
3112212121112210000
430232023303012
5414114333132
633102342130
75201104140
oct1456136306
9485545700
10213433542
11aa528863
125b58a946
13352ab94a
14204bbc90
1513b0e87c
hexcb8bcc6

213433542 has 80 divisors (see below), whose sum is σ = 551992320. Its totient is φ = 60376752.

The previous prime is 213433541. The next prime is 213433559. The reversal of 213433542 is 245334312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213433541) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120459 + ... + 122217.

It is an arithmetic number, because the mean of its divisors is an integer number (6899904).

Almost surely, 2213433542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213433542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275996160).

213433542 is an abundant number, since it is smaller than the sum of its proper divisors (338558778).

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

213433542 is a wasteful number, since it uses less digits than its factorization.

213433542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1878 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 213433542 is about 14609.3648732585. The cubic root of 213433542 is about 597.6141756448.

Adding to 213433542 its reverse (245334312), we get a palindrome (458767854).

The spelling of 213433542 in words is "two hundred thirteen million, four hundred thirty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 107 126 162 189 214 321 378 567 642 749 963 1134 1498 1759 1926 2247 2889 3518 4494 5277 5778 6741 8667 10554 12313 13482 15831 17334 20223 24626 31662 36939 40446 47493 60669 73878 94986 110817 121338 142479 188213 221634 284958 332451 376426 564639 664902 997353 1129278 1317491 1693917 1994706 2634982 3387834 3952473 5081751 7904946 10163502 11857419 15245253 23714838 30490506 35572257 71144514 106716771 213433542