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2790416 = 241967137
BaseRepresentation
bin1010101001010000010000
312020202201202
422221100100
51203243131
6135450332
732501216
oct12512020
95222652
102790416
111636532
12b269a8
13769145
14528cb6
153a1bcb
hex2a9410

2790416 has 40 divisors (see below), whose sum is σ = 5818080. Its totient is φ = 1292544.

The previous prime is 2790407. The next prime is 2790421. The reversal of 2790416 is 6140972.

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, 20300 + ... + 20436.

It is an arithmetic number, because the mean of its divisors is an integer number (145452).

22790416 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 2790416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909040).

2790416 is an abundant number, since it is smaller than the sum of its proper divisors (3027664).

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

2790416 is a wasteful number, since it uses less digits than its factorization.

2790416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 2790416 is about 1670.4538305502. The cubic root of 2790416 is about 140.7849781667.

The spelling of 2790416 in words is "two million, seven hundred ninety thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 38 67 76 134 137 152 268 274 304 536 548 1072 1096 1273 2192 2546 2603 5092 5206 9179 10184 10412 18358 20368 20824 36716 41648 73432 146864 174401 348802 697604 1395208 2790416