Search a number
-
+
20142408 = 23311135869
BaseRepresentation
bin100110011010…
…1100101001000
31101220100012010
41030311211020
520124024113
61555415520
7333131136
oct114654510
941810163
1020142408
1110408320
1268b45a0
1342331b0
142964756
151b7d1c3
hex1335948

20142408 has 64 divisors (see below), whose sum is σ = 59169600. Its totient is φ = 5633280.

The previous prime is 20142401. The next prime is 20142427. The reversal of 20142408 is 80424102.

It is not an unprimeable number, because it can be changed into a prime (20142401) by changing a digit.

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, 498 + ... + 6366.

It is an arithmetic number, because the mean of its divisors is an integer number (924525).

Almost surely, 220142408 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 20142408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29584800).

20142408 is an abundant number, since it is smaller than the sum of its proper divisors (39027192).

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

20142408 is a wasteful number, since it uses less digits than its factorization.

20142408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 20142408 is about 4488.0294116683. The cubic root of 20142408 is about 272.0844965282.

The spelling of 20142408 in words is "twenty million, one hundred forty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 5869 11738 17607 23476 35214 46952 64559 70428 76297 129118 140856 152594 193677 228891 258236 305188 387354 457782 516472 610376 774708 839267 915564 1549416 1678534 1831128 2517801 3357068 5035602 6714136 10071204 20142408