Search a number
-
+
16109874 = 2331137733
BaseRepresentation
bin111101011101…
…000100110010
31010022110121000
4331131010302
513111003444
61333142430
7253634364
oct75350462
933273530
1016109874
119103650
12548aa16
133450891
1421d4d34
151633469
hexf5d132

16109874 has 64 divisors (see below), whose sum is σ = 40164480. Its totient is φ = 4743360.

The previous prime is 16109869. The next prime is 16109879. The reversal of 16109874 is 47890161.

It is an interprime number because it is at equal distance from previous prime (16109869) and next prime (16109879).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16109879) 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 31 ways as a sum of consecutive naturals, for example, 21612 + ... + 22344.

It is an arithmetic number, because the mean of its divisors is an integer number (627570).

Almost surely, 216109874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16109874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20082240).

16109874 is an abundant number, since it is smaller than the sum of its proper divisors (24054606).

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

16109874 is a wasteful number, since it uses less digits than its factorization.

16109874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 16109874 is about 4013.7107519103. The cubic root of 16109874 is about 252.5596970245.

The spelling of 16109874 in words is "sixteen million, one hundred nine thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 297 333 407 594 666 733 814 999 1221 1466 1998 2199 2442 3663 4398 6597 7326 8063 10989 13194 16126 19791 21978 24189 27121 39582 48378 54242 72567 81363 145134 162726 217701 244089 298331 435402 488178 596662 732267 894993 1464534 1789986 2684979 5369958 8054937 16109874