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1684622940 = 22357211134007
BaseRepresentation
bin110010001101001…
…0100111001011100
311100101220201020020
41210122110321130
511422230413230
6435055152140
756514026100
oct14432247134
94311821206
101684622940
11794a20170
123b0215650
1320b024410
1411da41900
159cd67810
hex64694e5c

1684622940 has 288 divisors, whose sum is σ = 6447942144. Its totient is φ = 323043840.

The previous prime is 1684622881. The next prime is 1684622941. The reversal of 1684622940 is 492264861.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1684622892 and 1684622901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684622941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418417 + ... + 422423.

It is an arithmetic number, because the mean of its divisors is an integer number (22388688).

Almost surely, 21684622940 is an apocalyptic number.

1684622940 is a gapful number since it is divisible by the number (10) 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 1684622940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223971072).

1684622940 is an abundant number, since it is smaller than the sum of its proper divisors (4763319204).

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

1684622940 is a wasteful number, since it uses less digits than its factorization.

1684622940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 1684622940 is about 41044.1584150534. The cubic root of 1684622940 is about 1189.8738043802.

The spelling of 1684622940 in words is "one billion, six hundred eighty-four million, six hundred twenty-two thousand, nine hundred forty".