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2036980 = 2251147197
BaseRepresentation
bin111110001010011110100
310211111012201
413301103310
51010140410
6111354244
723212501
oct7612364
93744181
102036980
111171460
12822984
1356421a
143b04a8
152a383a
hex1f14f4

2036980 has 48 divisors (see below), whose sum is σ = 4790016. Its totient is φ = 721280.

The previous prime is 2036977. The next prime is 2036987. The reversal of 2036980 is 896302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2036987) 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, 10242 + ... + 10438.

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

22036980 is an apocalyptic number.

2036980 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 2036980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395008).

2036980 is an abundant number, since it is smaller than the sum of its proper divisors (2753036).

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

2036980 is a wasteful number, since it uses less digits than its factorization.

2036980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

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

The square root of 2036980 is about 1427.2280826834. The cubic root of 2036980 is about 126.7638988736.

It can be divided in two parts, 20369 and 80, that added together give a square (20449 = 1432).

The spelling of 2036980 in words is "two million, thirty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 197 220 235 394 470 517 788 940 985 1034 1970 2068 2167 2585 3940 4334 5170 8668 9259 10340 10835 18518 21670 37036 43340 46295 92590 101849 185180 203698 407396 509245 1018490 2036980