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2035140 = 2235107317
BaseRepresentation
bin111110000110111000100
310211101200120
413300313010
51010111030
6111341540
723204232
oct7606704
93741616
102035140
111170038
128218b0
13563433
143ad952
152a3010
hex1f0dc4

2035140 has 48 divisors (see below), whose sum is σ = 5769792. Its totient is φ = 535936.

The previous prime is 2035127. The next prime is 2035141. The reversal of 2035140 is 415302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2035141) 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, 6262 + ... + 6578.

It is an arithmetic number, because the mean of its divisors is an integer number (120204).

22035140 is an apocalyptic number.

2035140 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 2035140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884896).

2035140 is an abundant number, since it is smaller than the sum of its proper divisors (3734652).

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

2035140 is a wasteful number, since it uses less digits than its factorization.

2035140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2035140 is about 1426.5833308994. The cubic root of 2035140 is about 126.7257188490.

The spelling of 2035140 in words is "two million, thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 317 321 428 535 634 642 951 1070 1268 1284 1585 1605 1902 2140 3170 3210 3804 4755 6340 6420 9510 19020 33919 67838 101757 135676 169595 203514 339190 407028 508785 678380 1017570 2035140