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2106090028 = 2273110323557
BaseRepresentation
bin111110110001000…
…0110001000101100
312102202222110101101
41331202012020230
513303124340103
6544552452444
7103122320110
oct17542061054
95382873341
102106090028
11990918679
124a93aa124
13277440b23
1415d9d3740
15c4d6ba1d
hex7d88622c

2106090028 has 48 divisors (see below), whose sum is σ = 4390457344. Its totient is φ = 864976320.

The previous prime is 2106090023. The next prime is 2106090073. The reversal of 2106090028 is 8200906012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2106089978 and 2106090005.

It is not an unprimeable number, because it can be changed into a prime (2106090023) 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, 77626 + ... + 101182.

Almost surely, 22106090028 is an apocalyptic number.

2106090028 is a gapful number since it is divisible by the number (28) 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 2106090028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195228672).

2106090028 is an abundant number, since it is smaller than the sum of its proper divisors (2284367316).

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

2106090028 is a wasteful number, since it uses less digits than its factorization.

2106090028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23702 (or 23700 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2106090028 is about 45892.1564975977. The cubic root of 2106090028 is about 1281.8158691549.

The spelling of 2106090028 in words is "two billion, one hundred six million, ninety thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 31 62 103 124 206 217 412 434 721 868 1442 2884 3193 6386 12772 22351 23557 44702 47114 89404 94228 164899 329798 659596 730267 1460534 2426371 2921068 4852742 5111869 9705484 10223738 16984597 20447476 33969194 67938388 75217501 150435002 300870004 526522507 1053045014 2106090028