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2146380 = 223583431
BaseRepresentation
bin1000001100000001001100
311001001021120
420030001030
51022141010
6114000540
724146445
oct10140114
94031246
102146380
111236675
12876150
135a1c62
143dc2cc
152c5e70
hex20c04c

2146380 has 48 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 564160.

The previous prime is 2146367. The next prime is 2146387. The reversal of 2146380 is 836412.

It is a happy number.

It is an Ulam number.

It is a d-powerful number, because it can be written as 27 + 1 + 44 + 66 + 37 + 87 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2146380.

It is not an unprimeable number, because it can be changed into a prime (2146387) 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, 4765 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

22146380 is an apocalyptic number.

2146380 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 2146380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2146380 is an abundant number, since it is smaller than the sum of its proper divisors (3950004).

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

2146380 is a wasteful number, since it uses less digits than its factorization.

2146380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2146380 is about 1465.0529000688. The cubic root of 2146380 is about 128.9938101711.

The spelling of 2146380 in words is "two million, one hundred forty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 431 498 830 862 996 1245 1293 1660 1724 2155 2490 2586 4310 4980 5172 6465 8620 12930 25860 35773 71546 107319 143092 178865 214638 357730 429276 536595 715460 1073190 2146380