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2146680 = 233256789
BaseRepresentation
bin1000001100000101111000
311001001200200
420030011320
51022143210
6114002200
724150354
oct10140570
94031620
102146680
111236918
12876360
135a2133
143dc464
152c60c0
hex20c178

2146680 has 96 divisors (see below), whose sum is σ = 7160400. Its totient is φ = 557568.

The previous prime is 2146673. The next prime is 2146687. The reversal of 2146680 is 866412.

It is an interprime number because it is at equal distance from previous prime (2146673) and next prime (2146687).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24076 + ... + 24164.

22146680 is an apocalyptic number.

2146680 is a gapful number since it is divisible by the number (20) 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 2146680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580200).

2146680 is an abundant number, since it is smaller than the sum of its proper divisors (5013720).

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

2146680 is a wasteful number, since it uses less digits than its factorization.

2146680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2146680 is about 1465.1552818729. The cubic root of 2146680 is about 128.9998197221. Note that the first 3 decimals are identical.

The spelling of 2146680 in words is "two million, one hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 89 90 120 134 178 180 201 267 268 335 356 360 402 445 534 536 603 670 712 801 804 890 1005 1068 1206 1335 1340 1602 1608 1780 2010 2136 2412 2670 2680 3015 3204 3560 4005 4020 4824 5340 5963 6030 6408 8010 8040 10680 11926 12060 16020 17889 23852 24120 29815 32040 35778 47704 53667 59630 71556 89445 107334 119260 143112 178890 214668 238520 268335 357780 429336 536670 715560 1073340 2146680