Search a number
-
+
16100144 = 2419211251
BaseRepresentation
bin111101011010…
…101100110000
31010021222020122
4331122230300
513110201034
61333025412
7253564124
oct75325460
933258218
1016100144
1190a7305
125485268
133449318
1421d1584
15163062e
hexf5ab30

16100144 has 40 divisors (see below), whose sum is σ = 33122880. Its totient is φ = 7560000.

The previous prime is 16100141. The next prime is 16100177. The reversal of 16100144 is 44100161.

It is not an unprimeable number, because it can be changed into a prime (16100141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64019 + ... + 64269.

It is an arithmetic number, because the mean of its divisors is an integer number (828072).

Almost surely, 216100144 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 16100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561440).

16100144 is an abundant number, since it is smaller than the sum of its proper divisors (17022736).

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

16100144 is a wasteful number, since it uses less digits than its factorization.

16100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 16100144 is about 4012.4984735200. The cubic root of 16100144 is about 252.5088400003.

Adding to 16100144 its sum of digits (17), we get a palindrome (16100161).

The spelling of 16100144 in words is "sixteen million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 211 251 304 422 502 844 1004 1688 2008 3376 4009 4016 4769 8018 9538 16036 19076 32072 38152 52961 64144 76304 105922 211844 423688 847376 1006259 2012518 4025036 8050072 16100144