Search a number
-
+
6750016 = 267131961
BaseRepresentation
bin11001101111111101000000
3110200221021121
4121233331000
53212000031
6400402024
7111242230
oct31577500
913627247
106750016
1138a0429
122316314
1315244c0
14c79cc0
158d5011
hex66ff40

6750016 has 112 divisors (see below), whose sum is σ = 17637760. Its totient is φ = 2488320.

The previous prime is 6750001. The next prime is 6750019. The reversal of 6750016 is 6100576.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6750019) 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 15 ways as a sum of consecutive naturals, for example, 110626 + ... + 110686.

It is an arithmetic number, because the mean of its divisors is an integer number (157480).

Almost surely, 26750016 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 6750016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8818880).

6750016 is an abundant number, since it is smaller than the sum of its proper divisors (10887744).

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

6750016 is a wasteful number, since it uses less digits than its factorization.

6750016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 6750016 is about 2598.0792905529. The cubic root of 6750016 is about 188.9883068081.

The spelling of 6750016 in words is "six million, seven hundred fifty thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 61 64 76 91 104 112 122 133 152 182 208 224 244 247 266 304 364 416 427 448 488 494 532 608 728 793 832 854 976 988 1064 1159 1216 1456 1586 1708 1729 1952 1976 2128 2318 2912 3172 3416 3458 3904 3952 4256 4636 5551 5824 6344 6832 6916 7904 8113 8512 9272 11102 12688 13664 13832 15067 15808 16226 18544 22204 25376 27328 27664 30134 32452 37088 44408 50752 55328 60268 64904 74176 88816 105469 110656 120536 129808 177632 210938 241072 259616 355264 421876 482144 519232 843752 964288 1687504 3375008 6750016