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2042010 = 23452521
BaseRepresentation
bin111110010100010011010
310211202010000
413302202122
51010321020
6111433430
723233245
oct7624232
93752100
102042010
111175213
12825876
135665b9
143b225c
152a5090
hex1f289a

2042010 has 40 divisors (see below), whose sum is σ = 5492916. Its totient is φ = 544320.

The previous prime is 2041997. The next prime is 2042017. The reversal of 2042010 is 102402.

It can be written as a sum of positive squares in 2 ways, for example, as 1656369 + 385641 = 1287^2 + 621^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2041983 and 2042001.

It is not an unprimeable number, because it can be changed into a prime (2042017) 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 19 ways as a sum of consecutive naturals, for example, 451 + ... + 2070.

22042010 is an apocalyptic number.

2042010 is an abundant number, since it is smaller than the sum of its proper divisors (3450906).

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

2042010 is a wasteful number, since it uses less digits than its factorization.

2042010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2042010 is about 1428.9891532129. The cubic root of 2042010 is about 126.8681542409.

Adding to 2042010 its reverse (102402), we get a palindrome (2144412).

The spelling of 2042010 in words is "two million, forty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2521 5042 7563 12605 15126 22689 25210 37815 45378 68067 75630 113445 136134 204201 226890 340335 408402 680670 1021005 2042010