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2190076 = 2271743107
BaseRepresentation
bin1000010110101011111100
311010021012221
420112223330
51030040301
6114535124
724421030
oct10265374
94107187
102190076
111266489
128974a4
135b8b05
144101c0
152d3da1
hex216afc

2190076 has 48 divisors (see below), whose sum is σ = 4790016. Its totient is φ = 854784.

The previous prime is 2190047. The next prime is 2190077. The reversal of 2190076 is 6700912.

2190076 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

2190076 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2190076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190077) 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, 20415 + ... + 20521.

It is an arithmetic number, because the mean of its divisors is an integer number (99792).

22190076 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 2190076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395008).

2190076 is an abundant number, since it is smaller than the sum of its proper divisors (2599940).

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

2190076 is a wasteful number, since it uses less digits than its factorization.

2190076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 2190076 is about 1479.8905364925. The cubic root of 2190076 is about 129.8632882330.

Adding to 2190076 its reverse (6700912), we get a palindrome (8890988).

It can be divided in two parts, 21900 and 76, that multiplied together give a triangular number (1664400 = T1824).

The spelling of 2190076 in words is "two million, one hundred ninety thousand, seventy-six".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 107 119 172 214 238 301 428 476 602 731 749 1204 1462 1498 1819 2924 2996 3638 4601 5117 7276 9202 10234 12733 18404 20468 25466 32207 50932 64414 78217 128828 156434 312868 547519 1095038 2190076