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20142416 = 2471771149
BaseRepresentation
bin100110011010…
…1100101010000
31101220100012102
41030311211100
520124024131
61555415532
7333131150
oct114654520
941810172
1020142416
1110408328
1268b45a8
1342331b8
142964760
151b7d1cb
hex1335950

20142416 has 80 divisors (see below), whose sum is σ = 48211200. Its totient is φ = 7956480.

The previous prime is 20142401. The next prime is 20142427. The reversal of 20142416 is 61424102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135110 + ... + 135258.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 220142416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

20142416 is an abundant number, since it is smaller than the sum of its proper divisors (28068784).

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

20142416 is a wasteful number, since it uses less digits than its factorization.

20142416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 20142416 is about 4488.0303029280. The cubic root of 20142416 is about 272.0845325497.

Adding to 20142416 its reverse (61424102), we get a palindrome (81566518).

The spelling of 20142416 in words is "twenty million, one hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 71 112 119 136 142 149 238 272 284 298 476 497 568 596 952 994 1043 1136 1192 1207 1904 1988 2086 2384 2414 2533 3976 4172 4828 5066 7952 8344 8449 9656 10132 10579 16688 16898 17731 19312 20264 21158 33796 35462 40528 42316 67592 70924 74053 84632 135184 141848 148106 169264 179843 283696 296212 359686 592424 719372 1184848 1258901 1438744 2517802 2877488 5035604 10071208 20142416