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2036080 = 24531821
BaseRepresentation
bin111110001000101110000
310211102222101
413301011300
51010123310
6111350144
723210044
oct7610560
93742871
102036080
111170812
12822354
135639a7
143b0024
152a343a
hex1f1170

2036080 has 40 divisors (see below), whose sum is σ = 4892544. Its totient is φ = 787200.

The previous prime is 2036077. The next prime is 2036081. The reversal of 2036080 is 806302.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2036081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2070 + ... + 2890.

22036080 is an apocalyptic number.

2036080 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 2036080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446272).

2036080 is an abundant number, since it is smaller than the sum of its proper divisors (2856464).

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

2036080 is a wasteful number, since it uses less digits than its factorization.

2036080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2036080 is about 1426.9127513622. The cubic root of 2036080 is about 126.7452267355.

It can be divided in two parts, 20 and 36080, that added together give a square (36100 = 1902).

The spelling of 2036080 in words is "two million, thirty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 821 1240 1642 2480 3284 4105 6568 8210 13136 16420 25451 32840 50902 65680 101804 127255 203608 254510 407216 509020 1018040 2036080