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2042040 = 23357111317
BaseRepresentation
bin111110010100010111000
310211202011010
413302202320
51010321130
6111433520
723233320
oct7624270
93752133
102042040
111175240
128258a0
13566610
143b2280
152a50b0
hex1f28b8

2042040 has 256 divisors, whose sum is σ = 8709120. Its totient is φ = 368640.

The previous prime is 2042039. The next prime is 2042059. The reversal of 2042040 is 402402.

It is a Cunningham number, because it is equal to 14292-1.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 120112 + ... + 120128.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

22042040 is an apocalyptic number.

2042040 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 2042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2042040 is an abundant number, since it is smaller than the sum of its proper divisors (6667080).

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

2042040 is a wasteful number, since it uses less digits than its factorization.

2042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2042040 is about 1428.9996501049. Note that the first 3 decimals coincide. The cubic root of 2042040 is about 126.8687755284.

Adding to 2042040 its reverse (402402), we get a palindrome (2444442).

The spelling of 2042040 in words is "two million, forty-two thousand, forty", and thus it is an eban number.