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2893740 = 2235172837
BaseRepresentation
bin1011000010011110101100
312110000110120
423002132230
51220044430
6142004540
733411363
oct13023654
95400416
102893740
1116a7123
12b76750
137a4195
145547da
153c2610
hex2c27ac

2893740 has 48 divisors (see below), whose sum is σ = 8582112. Its totient is φ = 726016.

The previous prime is 2893727. The next prime is 2893741. The reversal of 2893740 is 473982.

2893740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2893741) 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 15 ways as a sum of consecutive naturals, for example, 399 + ... + 2438.

It is an arithmetic number, because the mean of its divisors is an integer number (178794).

22893740 is an apocalyptic number.

2893740 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 2893740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291056).

2893740 is an abundant number, since it is smaller than the sum of its proper divisors (5688372).

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

2893740 is a wasteful number, since it uses less digits than its factorization.

2893740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2893740 is about 1701.0996443477. The cubic root of 2893740 is about 142.5016312525.

The spelling of 2893740 in words is "two million, eight hundred ninety-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2837 5674 8511 11348 14185 17022 28370 34044 42555 48229 56740 85110 96458 144687 170220 192916 241145 289374 482290 578748 723435 964580 1446870 2893740