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2045196 = 223329653
BaseRepresentation
bin111110011010100001100
310211220111000
413303110030
51010421241
6111500300
723245446
oct7632414
93756430
102045196
11117764a
12827690
13567b9a
143b3496
152a5eb6
hex1f350c

2045196 has 48 divisors (see below), whose sum is σ = 5493600. Its totient is φ = 657216.

The previous prime is 2045191. The next prime is 2045213. The reversal of 2045196 is 6915402.

2045196 = T183 + T184 + ... + T263.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2045191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2806 + ... + 3458.

It is an arithmetic number, because the mean of its divisors is an integer number (114450).

22045196 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 2045196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746800).

2045196 is an abundant number, since it is smaller than the sum of its proper divisors (3448404).

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

2045196 is a wasteful number, since it uses less digits than its factorization.

2045196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2045196 is about 1430.1034927585. The cubic root of 2045196 is about 126.9341010132.

The spelling of 2045196 in words is "two million, forty-five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 653 783 1044 1306 1566 1959 2612 3132 3918 5877 7836 11754 17631 18937 23508 35262 37874 56811 70524 75748 113622 170433 227244 340866 511299 681732 1022598 2045196