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2084940 = 223651113
BaseRepresentation
bin111111101000001001100
310220221000000
413331001030
51013204230
6112404300
723502354
oct7750114
93827000
102084940
1111a44a0
12846690
1357ccc0
143c3b64
152b2b60
hex1fd04c

2084940 has 168 divisors, whose sum is σ = 7712208. Its totient is φ = 466560.

The previous prime is 2084921. The next prime is 2084947. The reversal of 2084940 is 494802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2084947) 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 55 ways as a sum of consecutive naturals, for example, 160374 + ... + 160386.

It is an arithmetic number, because the mean of its divisors is an integer number (45906).

22084940 is an apocalyptic number.

2084940 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 2084940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856104).

2084940 is an abundant number, since it is smaller than the sum of its proper divisors (5627268).

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

2084940 is a wasteful number, since it uses less digits than its factorization.

2084940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2084940 is about 1443.9321313691. The cubic root of 2084940 is about 127.7510623977.

The spelling of 2084940 in words is "two million, eighty-four thousand, nine hundred forty".