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2000368 = 243137109
BaseRepresentation
bin111101000010111110000
310202121222201
413220113300
51003002433
6110512544
723000656
oct7502760
93677881
102000368
1111469a7
12805754
13550666
143a0dd6
15297a7d
hex1e85f0

2000368 has 40 divisors (see below), whose sum is σ = 4146560. Its totient is φ = 933120.

The previous prime is 2000353. The next prime is 2000371. The reversal of 2000368 is 8630002.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18298 + ... + 18406.

It is an arithmetic number, because the mean of its divisors is an integer number (103664).

22000368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073280).

2000368 is an abundant number, since it is smaller than the sum of its proper divisors (2146192).

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

2000368 is a wasteful number, since it uses less digits than its factorization.

2000368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2000368 is about 1414.3436640364. The cubic root of 2000368 is about 125.9998320314. Note that the first 3 decimals are identical.

The spelling of 2000368 in words is "two million, three hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 31 37 62 74 109 124 148 218 248 296 436 496 592 872 1147 1744 2294 3379 4033 4588 6758 8066 9176 13516 16132 18352 27032 32264 54064 64528 125023 250046 500092 1000184 2000368