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2128016 = 2411107113
BaseRepresentation
bin1000000111100010010000
311000010002102
420013202100
51021044031
6113335532
724042062
oct10074220
94003072
102128016
1112238a0
128675a8
135967a7
143d5732
152c07cb
hex207890

2128016 has 40 divisors (see below), whose sum is σ = 4580064. Its totient is φ = 949760.

The previous prime is 2128001. The next prime is 2128031. The reversal of 2128016 is 6108212.

It is an interprime number because it is at equal distance from previous prime (2128001) and next prime (2128031).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18776 + ... + 18888.

22128016 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 2128016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290032).

2128016 is an abundant number, since it is smaller than the sum of its proper divisors (2452048).

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

2128016 is a wasteful number, since it uses less digits than its factorization.

2128016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2128016 is about 1458.7720863795. The cubic root of 2128016 is about 128.6248741941.

It can be divided in two parts, 212 and 8016, that added together give a palindrome (8228).

The spelling of 2128016 in words is "two million, one hundred twenty-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 107 113 176 214 226 428 452 856 904 1177 1243 1712 1808 2354 2486 4708 4972 9416 9944 12091 18832 19888 24182 48364 96728 133001 193456 266002 532004 1064008 2128016