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2096416 = 2573191
BaseRepresentation
bin111111111110100100000
310221111202001
413333310200
51014041131
6112533344
723551000
oct7776440
93844661
102096416
111202083
12851254
135852aa
143c8000
152b6261
hex1ffd20

2096416 has 48 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 893760.

The previous prime is 2096411. The next prime is 2096429. The reversal of 2096416 is 6146902.

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

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2096411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10881 + ... + 11071.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

22096416 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 2096416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

2096416 is an abundant number, since it is smaller than the sum of its proper divisors (2741984).

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

2096416 is an equidigital number, since it uses as much as digits as its factorization.

2096416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2096416 is about 1447.9005490710. The cubic root of 2096416 is about 127.9850242896.

The spelling of 2096416 in words is "two million, ninety-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 191 196 224 343 382 392 686 764 784 1337 1372 1528 1568 2674 2744 3056 5348 5488 6112 9359 10696 10976 18718 21392 37436 42784 65513 74872 131026 149744 262052 299488 524104 1048208 2096416