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2038640 = 245171499
BaseRepresentation
bin111110001101101110000
310211120111012
413301231300
51010214030
6111410052
723220362
oct7615560
93746435
102038640
11117272a
12823928
13564bc6
143b0d32
152a4095
hex1f1b70

2038640 has 40 divisors (see below), whose sum is σ = 5022000. Its totient is φ = 766976.

The previous prime is 2038639. The next prime is 2038661. The reversal of 2038640 is 468302.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 611 + ... + 2109.

It is an arithmetic number, because the mean of its divisors is an integer number (125550).

22038640 is an apocalyptic number.

2038640 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 2038640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511000).

2038640 is an abundant number, since it is smaller than the sum of its proper divisors (2983360).

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

2038640 is a wasteful number, since it uses less digits than its factorization.

2038640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2038640 is about 1427.8095111043. The cubic root of 2038640 is about 126.7983241725.

The spelling of 2038640 in words is "two million, thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1499 2998 5996 7495 11992 14990 23984 25483 29980 50966 59960 101932 119920 127415 203864 254830 407728 509660 1019320 2038640