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20133414 = 233731087
BaseRepresentation
bin100110011001…
…1011000100110
31101212212212000
41030303120212
520123232124
61555310130
7333063000
oct114633046
941785760
1020133414
1110401594
1268ab346
13422c082
142961370
151b7a6c9
hex1333626

20133414 has 64 divisors (see below), whose sum is σ = 52224000. Its totient is φ = 5747112.

The previous prime is 20133413. The next prime is 20133431. The reversal of 20133414 is 41433102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20133413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17979 + ... + 19065.

It is an arithmetic number, because the mean of its divisors is an integer number (816000).

Almost surely, 220133414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20133414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26112000).

20133414 is an abundant number, since it is smaller than the sum of its proper divisors (32090586).

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

20133414 is a wasteful number, since it uses less digits than its factorization.

20133414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20133414 is about 4487.0273010090. The cubic root of 20133414 is about 272.0439933887.

Adding to 20133414 its reverse (41433102), we get a palindrome (61566516).

The spelling of 20133414 in words is "twenty million, one hundred thirty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 343 378 441 686 882 1029 1087 1323 2058 2174 2646 3087 3261 6174 6522 7609 9261 9783 15218 18522 19566 22827 29349 45654 53263 58698 68481 106526 136962 159789 205443 319578 372841 410886 479367 745682 958734 1118523 1438101 2237046 2876202 3355569 6711138 10066707 20133414