Search a number
-
+
16657104 = 2433783113
BaseRepresentation
bin111111100010…
…101011010000
31011100021020210
4333202223100
513231011404
61353004120
7261403662
oct77425320
934307223
1016657104
119447802
1256b3640
1335b2999
1422d8532
1516e0689
hexfe2ad0

16657104 has 80 divisors (see below), whose sum is σ = 45122112. Its totient is φ = 5289984.

The previous prime is 16657103. The next prime is 16657117. The reversal of 16657104 is 40175661.

It is a super-2 number, since 2×166571042 = 554918227333632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16657103) 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, 147352 + ... + 147464.

Almost surely, 216657104 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 16657104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22561056).

16657104 is an abundant number, since it is smaller than the sum of its proper divisors (28465008).

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

16657104 is a wasteful number, since it uses less digits than its factorization.

16657104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 16657104 is about 4081.3115539003. The cubic root of 16657104 is about 255.3876150405.

It can be divided in two parts, 16657 and 104, that added together give a palindrome (16761).

The spelling of 16657104 in words is "sixteen million, six hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 83 111 113 148 166 222 226 249 296 332 339 444 452 498 592 664 678 888 904 996 1328 1356 1776 1808 1992 2712 3071 3984 4181 5424 6142 8362 9213 9379 12284 12543 16724 18426 18758 24568 25086 28137 33448 36852 37516 49136 50172 56274 66896 73704 75032 100344 112548 147408 150064 200688 225096 347023 450192 694046 1041069 1388092 2082138 2776184 4164276 5552368 8328552 16657104