Search a number
-
+
20742414 = 237111719139
BaseRepresentation
bin100111100100…
…0000100001110
31110000211020120
41033020010032
520302224124
62020325410
7341210340
oct117100416
943024216
1020742414
11107880a0
126b43866
1343b3324
142a7d290
151c4ad79
hex13c810e

20742414 has 128 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 4769280.

The previous prime is 20742413. The next prime is 20742443. The reversal of 20742414 is 41424702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20742413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149157 + ... + 149295.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 220742414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20742414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

20742414 is an abundant number, since it is smaller than the sum of its proper divisors (37318386).

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

20742414 is a wasteful number, since it uses less digits than its factorization.

20742414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 20742414 is about 4554.3840417778. The cubic root of 20742414 is about 274.7597416706.

The spelling of 20742414 in words is "twenty million, seven hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 17 19 21 22 33 34 38 42 51 57 66 77 102 114 119 133 139 154 187 209 231 238 266 278 323 357 374 399 417 418 462 561 627 646 714 798 834 969 973 1122 1254 1309 1463 1529 1938 1946 2261 2363 2618 2641 2919 2926 3058 3553 3927 4389 4522 4587 4726 5282 5838 6783 7089 7106 7854 7923 8778 9174 10659 10703 13566 14178 15846 16541 18487 21318 21406 24871 25993 29051 32109 33082 36974 44897 49623 49742 51986 55461 58102 64218 74613 77979 87153 89794 99246 110922 134691 149226 155958 174306 181951 203357 269382 314279 363902 406714 493867 545853 610071 628558 942837 987734 1091706 1220142 1481601 1885674 2963202 3457069 6914138 10371207 20742414