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3680000 = 285423
BaseRepresentation
bin1110000010011100000000
320220222000022
432002130000
51420230000
6210513012
743164602
oct16023400
96828008
103680000
112093925
121295768
139bb01c
146bb172
154ca585
hex382700

3680000 has 90 divisors (see below), whose sum is σ = 9578184. Its totient is φ = 1408000.

The previous prime is 3679999. The next prime is 3680011. The reversal of 3680000 is 863.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159989 + ... + 160011.

Almost surely, 23680000 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 3680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789092).

3680000 is an abundant number, since it is smaller than the sum of its proper divisors (5898184).

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

3680000 is an frugal number, since it uses more digits than its factorization.

3680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3680000 is about 1918.3326093251. The cubic root of 3680000 is about 154.3888525872.

Adding to 3680000 its reverse (863), we get a palindrome (3680863).

The spelling of 3680000 in words is "three million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 256 320 368 400 460 500 575 625 640 736 800 920 1000 1150 1250 1280 1472 1600 1840 2000 2300 2500 2875 2944 3200 3680 4000 4600 5000 5750 5888 6400 7360 8000 9200 10000 11500 14375 14720 16000 18400 20000 23000 28750 29440 32000 36800 40000 46000 57500 73600 80000 92000 115000 147200 160000 184000 230000 368000 460000 736000 920000 1840000 3680000