Search a number
-
+
16350642 = 23271147251
BaseRepresentation
bin111110010111…
…110110110010
31010202200212100
4332113312302
513141210032
61342241230
7255656340
oct76276662
933680770
1016350642
119258530
125586216
133506349
142258990
15167e97c
hexf97db2

16350642 has 96 divisors (see below), whose sum is σ = 45287424. Its totient is φ = 4140000.

The previous prime is 16350641. The next prime is 16350667. The reversal of 16350642 is 24605361.

16350642 is a `hidden beast` number, since 16 + 3 + 5 + 0 + 642 = 666.

It is not an unprimeable number, because it can be changed into a prime (16350641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65017 + ... + 65267.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 216350642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16350642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712).

16350642 is an abundant number, since it is smaller than the sum of its proper divisors (28936782).

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

16350642 is a wasteful number, since it uses less digits than its factorization.

16350642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 16350642 is about 4043.5927094602. The cubic root of 16350642 is about 253.8116797007.

It can be divided in two parts, 163 and 50642, that added together give a palindrome (50805).

The spelling of 16350642 in words is "sixteen million, three hundred fifty thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 47 63 66 77 94 99 126 141 154 198 231 251 282 329 423 462 502 517 658 693 753 846 987 1034 1386 1506 1551 1757 1974 2259 2761 2961 3102 3514 3619 4518 4653 5271 5522 5922 7238 8283 9306 10542 10857 11797 15813 16566 19327 21714 23594 24849 31626 32571 35391 38654 49698 57981 65142 70782 82579 106173 115962 129767 165158 173943 212346 247737 259534 347886 389301 495474 743211 778602 908369 1167903 1486422 1816738 2335806 2725107 5450214 8175321 16350642