Search a number
-
+
16242688 = 211711103
BaseRepresentation
bin111101111101…
…100000000000
31010120012210001
4331331200000
513124231223
61340045344
7255026530
oct75754000
933505701
1016242688
119194410
125533854
133499177
14222b4c0
15165c9ad
hexf7d800

16242688 has 96 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 6266880.

The previous prime is 16242671. The next prime is 16242703. The reversal of 16242688 is 88624261.

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 7 ways as a sum of consecutive naturals, for example, 157645 + ... + 157747.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 216242688 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 16242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

16242688 is an abundant number, since it is smaller than the sum of its proper divisors (24641792).

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

16242688 is a wasteful number, since it uses less digits than its factorization.

16242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 16242688 is about 4030.2218301230. The cubic root of 16242688 is about 253.2518543756.

The spelling of 16242688 in words is "sixteen million, two hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 103 112 128 154 176 206 224 256 308 352 412 448 512 616 704 721 824 896 1024 1133 1232 1408 1442 1648 1792 2048 2266 2464 2816 2884 3296 3584 4532 4928 5632 5768 6592 7168 7931 9064 9856 11264 11536 13184 14336 15862 18128 19712 22528 23072 26368 31724 36256 39424 46144 52736 63448 72512 78848 92288 105472 126896 145024 157696 184576 210944 253792 290048 369152 507584 580096 738304 1015168 1160192 1476608 2030336 2320384 4060672 8121344 16242688