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2013375 = 35371359
BaseRepresentation
bin111101011100010111111
310210021211110
413223202333
51003412000
6111053103
723053620
oct7534277
93707743
102013375
111155751
12811193
13556560
143a5a47
1529b850
hex1eb8bf

2013375 has 64 divisors (see below), whose sum is σ = 4193280. Its totient is φ = 835200.

The previous prime is 2013371. The next prime is 2013377. The reversal of 2013375 is 5733102.

It is a happy number.

It is not a de Polignac number, because 2013375 - 22 = 2013371 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 27 + 0 + 1 + 36 + 310 + 73 + 59 .

2013375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34096 + ... + 34154.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

22013375 is an apocalyptic number.

2013375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2013375 is an abundant number, since it is smaller than the sum of its proper divisors (2179905).

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

2013375 is a wasteful number, since it uses less digits than its factorization.

2013375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 2013375 is about 1418.9344593744. The cubic root of 2013375 is about 126.2723386280.

Adding to 2013375 its reverse (5733102), we get a palindrome (7746477).

The spelling of 2013375 in words is "two million, thirteen thousand, three hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 59 65 75 91 105 125 175 177 195 273 295 325 375 413 455 525 767 875 885 975 1239 1365 1475 1625 2065 2275 2301 2625 3835 4425 4875 5369 6195 6825 7375 10325 11375 11505 16107 19175 22125 26845 30975 34125 51625 57525 80535 95875 134225 154875 287625 402675 671125 2013375