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16855128 = 233419372
BaseRepresentation
bin100000001001…
…1000001011000
31011201022220000
41000103001120
513303331003
61401133000
7263160213
oct100230130
934638800
1016855128
119572564
12578a160
133651b64
14234a77a
15172e1a3
hex1013058

16855128 has 120 divisors (see below), whose sum is σ = 51074100. Its totient is φ = 5178816.

The previous prime is 16855121. The next prime is 16855129. The reversal of 16855128 is 82155861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16855092 and 16855101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16855121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 455526 + ... + 455562.

Almost surely, 216855128 is an apocalyptic number.

16855128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16855128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25537050).

16855128 is an abundant number, since it is smaller than the sum of its proper divisors (34218972).

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

16855128 is a wasteful number, since it uses less digits than its factorization.

16855128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 61 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 16855128 is about 4105.4997259773. The cubic root of 16855128 is about 256.3956690703.

The spelling of 16855128 in words is "sixteen million, eight hundred fifty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 37 38 54 57 72 74 76 81 108 111 114 148 152 162 171 216 222 228 296 324 333 342 444 456 513 648 666 684 703 888 999 1026 1332 1368 1369 1406 1539 1998 2052 2109 2664 2738 2812 2997 3078 3996 4104 4107 4218 5476 5624 5994 6156 6327 7992 8214 8436 10952 11988 12312 12321 12654 16428 16872 18981 23976 24642 25308 26011 32856 36963 37962 49284 50616 52022 56943 73926 75924 78033 98568 104044 110889 113886 147852 151848 156066 208088 221778 227772 234099 295704 312132 443556 455544 468198 624264 702297 887112 936396 1404594 1872792 2106891 2809188 4213782 5618376 8427564 16855128