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20749212 = 223211151347
BaseRepresentation
bin100111100100…
…1101110011100
31110001011120100
41033021232130
520302433322
62020421100
7341236221
oct117115634
943034510
1020749212
1110792210
126b47790
1343b6453
142a81948
151c4cdac
hex13c9b9c

20749212 has 72 divisors (see below), whose sum is σ = 57762432. Its totient is φ = 6228000.

The previous prime is 20749187. The next prime is 20749213. The reversal of 20749212 is 21294702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20749213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59623 + ... + 59969.

It is an arithmetic number, because the mean of its divisors is an integer number (802256).

Almost surely, 220749212 is an apocalyptic number.

20749212 is a gapful number since it is divisible by the number (22) 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 20749212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28881216).

20749212 is an abundant number, since it is smaller than the sum of its proper divisors (37013220).

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

20749212 is a wasteful number, since it uses less digits than its factorization.

20749212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20749212 is about 4555.1302945141. The cubic root of 20749212 is about 274.7897544536.

Subtracting 20749212 from its reverse (21294702), we obtain a triangular number (545490 = T1044).

The spelling of 20749212 in words is "twenty million, seven hundred forty-nine thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 151 198 302 347 396 453 604 694 906 1041 1359 1388 1661 1812 2082 2718 3123 3322 3817 4164 4983 5436 6246 6644 7634 9966 11451 12492 14949 15268 19932 22902 29898 34353 45804 52397 59796 68706 104794 137412 157191 209588 314382 471573 576367 628764 943146 1152734 1729101 1886292 2305468 3458202 5187303 6916404 10374606 20749212