Search a number
-
+
16240644 = 22327172223
BaseRepresentation
bin111101111101…
…000000000100
31010120002222100
4331331000010
513124200034
61340032100
7255020550
oct75750004
933502870
1016240644
119192922
125532630
133498264
14222a860
15165c099
hexf7d004

16240644 has 108 divisors (see below), whose sum is σ = 50063104. Its totient is φ = 4347648.

The previous prime is 16240643. The next prime is 16240657. The reversal of 16240644 is 44604261.

16240644 is a `hidden beast` number, since 16 + 2 + 4 + 0 + 644 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16240643) 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 35 ways as a sum of consecutive naturals, for example, 72717 + ... + 72939.

Almost surely, 216240644 is an apocalyptic number.

16240644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16240644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25031552).

16240644 is an abundant number, since it is smaller than the sum of its proper divisors (33822460).

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

16240644 is a wasteful number, since it uses less digits than its factorization.

16240644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 16240644 is about 4029.9682380882. The cubic root of 16240644 is about 253.2412307541.

The spelling of 16240644 in words is "sixteen million, two hundred forty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 223 238 252 289 306 357 446 476 578 612 669 714 867 892 1071 1156 1338 1428 1561 1734 2007 2023 2142 2601 2676 3122 3468 3791 4014 4046 4284 4683 5202 6069 6244 7582 8028 8092 9366 10404 11373 12138 14049 15164 18207 18732 22746 24276 26537 28098 34119 36414 45492 53074 56196 64447 68238 72828 79611 106148 128894 136476 159222 193341 238833 257788 318444 386682 451129 477666 580023 773364 902258 955332 1160046 1353387 1804516 2320092 2706774 4060161 5413548 8120322 16240644