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2074842 = 233711499
BaseRepresentation
bin111111010100011011010
310220102011000
413322203122
51012343332
6112245430
723431050
oct7724332
93812130
102074842
111197950
12840876
13578523
143c01d0
152aeb7c
hex1fa8da

2074842 has 64 divisors (see below), whose sum is σ = 5760000. Its totient is φ = 537840.

The previous prime is 2074841. The next prime is 2074871. The reversal of 2074842 is 2484702.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2074841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3909 + ... + 4407.

It is an arithmetic number, because the mean of its divisors is an integer number (90000).

22074842 is an apocalyptic number.

2074842 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880000).

2074842 is an abundant number, since it is smaller than the sum of its proper divisors (3685158).

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

2074842 is a wasteful number, since it uses less digits than its factorization.

2074842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2074842 is about 1440.4311854441. The cubic root of 2074842 is about 127.5444827488.

It can be divided in two parts, 2074 and 842, that added together give a square (2916 = 542).

The spelling of 2074842 in words is "two million, seventy-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 499 594 693 998 1386 1497 2079 2994 3493 4158 4491 5489 6986 8982 10479 10978 13473 16467 20958 26946 31437 32934 38423 49401 62874 76846 94311 98802 115269 148203 188622 230538 296406 345807 691614 1037421 2074842