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16928136 = 2333109719
BaseRepresentation
bin100000010010…
…0110110001000
31011212001001000
41000210312020
513313200021
61402455000
7263613111
oct100446610
934761030
1016928136
1196123a5
125804460
133679164
142369208
151745b26
hex1024d88

16928136 has 64 divisors (see below), whose sum is σ = 47520000. Its totient is φ = 5583168.

The previous prime is 16928059. The next prime is 16928143. The reversal of 16928136 is 63182961.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16928136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23185 + ... + 23903.

It is an arithmetic number, because the mean of its divisors is an integer number (742500).

Almost surely, 216928136 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 16928136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23760000).

16928136 is an abundant number, since it is smaller than the sum of its proper divisors (30591864).

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

16928136 is a wasteful number, since it uses less digits than its factorization.

16928136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 833 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 16928136 is about 4114.3816060254. The cubic root of 16928136 is about 256.7653285360.

The spelling of 16928136 in words is "sixteen million, nine hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 109 216 218 327 436 654 719 872 981 1308 1438 1962 2157 2616 2876 2943 3924 4314 5752 5886 6471 7848 8628 11772 12942 17256 19413 23544 25884 38826 51768 77652 78371 155304 156742 235113 313484 470226 626968 705339 940452 1410678 1880904 2116017 2821356 4232034 5642712 8464068 16928136