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2042145 = 33572161
BaseRepresentation
bin111110010100100100001
310211202022000
413302210201
51010322040
6111434213
723233530
oct7624441
93752260
102042145
111175326
12825969
13566691
143b2317
152a5130
hex1f2921

2042145 has 32 divisors (see below), whose sum is σ = 4151040. Its totient is φ = 933120.

The previous prime is 2042129. The next prime is 2042149. The reversal of 2042145 is 5412402.

It is not a de Polignac number, because 2042145 - 24 = 2042129 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2042149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136 + ... + 2025.

It is an arithmetic number, because the mean of its divisors is an integer number (129720).

22042145 is an apocalyptic number.

It is an amenable number.

2042145 is an abundant number, since it is smaller than the sum of its proper divisors (2108895).

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

2042145 is a wasteful number, since it uses less digits than its factorization.

2042145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2042145 is about 1429.0363886200. The cubic root of 2042145 is about 126.8709499868.

Adding to 2042145 its reverse (5412402), we get a palindrome (7454547).

It can be divided in two parts, 2042 and 145, that added together give a 7-th power (2187 = 37).

The spelling of 2042145 in words is "two million, forty-two thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 2161 6483 10805 15127 19449 32415 45381 58347 75635 97245 136143 226905 291735 408429 680715 2042145