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2893920 = 25356029
BaseRepresentation
bin1011000010100001100000
312110000201020
423002201200
51220101140
6142005440
733412041
oct13024140
95400636
102893920
1116a7277
12b76880
137a42a3
145548c8
153c26d0
hex2c2860

2893920 has 48 divisors (see below), whose sum is σ = 9117360. Its totient is φ = 771584.

The previous prime is 2893897. The next prime is 2893937. The reversal of 2893920 is 293982.

It is a tau number, because it is divible by the number of its divisors (48).

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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2535 + ... + 3494.

It is an arithmetic number, because the mean of its divisors is an integer number (189945).

22893920 is an apocalyptic number.

2893920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2893920 is an abundant number, since it is smaller than the sum of its proper divisors (6223440).

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

2893920 is a wasteful number, since it uses less digits than its factorization.

2893920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 2893920 is about 1701.1525504786. The cubic root of 2893920 is about 142.5045858789.

The spelling of 2893920 in words is "two million, eight hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6029 12058 18087 24116 30145 36174 48232 60290 72348 90435 96464 120580 144696 180870 192928 241160 289392 361740 482320 578784 723480 964640 1446960 2893920