Search a number
-
+
16657116 = 2237593361
BaseRepresentation
bin111111100010…
…101011011100
31011100021021020
4333202223130
513231011431
61353004140
7261404010
oct77425334
934307236
1016657116
119447813
1256b3650
1335b29a8
1422d8540
1516e0696
hexfe2adc

16657116 has 48 divisors (see below), whose sum is σ = 45185280. Its totient is φ = 4677120.

The previous prime is 16657103. The next prime is 16657117. The reversal of 16657116 is 61175661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16657117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3276 + ... + 6636.

It is an arithmetic number, because the mean of its divisors is an integer number (941360).

Almost surely, 216657116 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 16657116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22592640).

16657116 is an abundant number, since it is smaller than the sum of its proper divisors (28528164).

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

16657116 is a wasteful number, since it uses less digits than its factorization.

16657116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3432 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 16657116 is about 4081.3130240157. The cubic root of 16657116 is about 255.3876763687.

The spelling of 16657116 in words is "sixteen million, six hundred fifty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 3361 4956 6722 10083 13444 20166 23527 40332 47054 70581 94108 141162 198299 282324 396598 594897 793196 1189794 1388093 2379588 2776186 4164279 5552372 8328558 16657116