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2064042 = 23531137
BaseRepresentation
bin111110111111010101010
310212212100000
413313322222
51012022132
6112123430
723354421
oct7677252
93785300
102064042
11118a822
12836576
13573636
143ba2b8
152ab87c
hex1f7eaa

2064042 has 48 divisors (see below), whose sum is σ = 4822272. Its totient is φ = 660960.

The previous prime is 2064031. The next prime is 2064047. The reversal of 2064042 is 2404602.

2064042 is a `hidden beast` number, since 20 + 640 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2064047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14998 + ... + 15134.

It is an arithmetic number, because the mean of its divisors is an integer number (100464).

22064042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411136).

2064042 is an abundant number, since it is smaller than the sum of its proper divisors (2758230).

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

2064042 is a wasteful number, since it uses less digits than its factorization.

2064042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2064042 is about 1436.6774168198. The cubic root of 2064042 is about 127.3227988203.

Adding to 2064042 its reverse (2404602), we get a palindrome (4468644).

The spelling of 2064042 in words is "two million, sixty-four thousand, forty-two", and thus it is an eban number.

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 137 162 186 243 274 279 411 486 558 822 837 1233 1674 2466 2511 3699 4247 5022 7398 7533 8494 11097 12741 15066 22194 25482 33291 38223 66582 76446 114669 229338 344007 688014 1032021 2064042