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2249040 = 24359371
BaseRepresentation
bin1000100101000101010000
311020021002210
420211011100
51033432130
6120112120
725054653
oct10450520
94207083
102249040
1112a6812
12905640
136098c1
1442789a
152e65b0
hex225150

2249040 has 40 divisors (see below), whose sum is σ = 6972768. Its totient is φ = 599680.

The previous prime is 2248999. The next prime is 2249053. The reversal of 2249040 is 409422.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2248998 and 2249016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4446 + ... + 4925.

22249040 is an apocalyptic number.

2249040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2249040 is an abundant number, since it is smaller than the sum of its proper divisors (4723728).

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

2249040 is a wasteful number, since it uses less digits than its factorization.

2249040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9387 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2249040 is about 1499.6799658594. The cubic root of 2249040 is about 131.0184306761.

The spelling of 2249040 in words is "two million, two hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9371 18742 28113 37484 46855 56226 74968 93710 112452 140565 149936 187420 224904 281130 374840 449808 562260 749680 1124520 2249040