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3920000 = 275472
BaseRepresentation
bin1110111101000010000000
321101011020012
432331002000
52000420000
6220004052
745214400
oct16750200
97334205
103920000
112238177
121390628
13a73336
14740800
15526735
hex3bd080

3920000 has 120 divisors (see below), whose sum is σ = 11351835. Its totient is φ = 1344000.

The previous prime is 3919999. The next prime is 3920003. The reversal of 3920000 is 293.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 906304 + 3013696 = 952^2 + 1736^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1400.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3920003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 559997 + ... + 560003.

Almost surely, 23920000 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 3920000

3920000 is an abundant number, since it is smaller than the sum of its proper divisors (7431835).

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

3920000 is an frugal number, since it uses more digits than its factorization.

3920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3920000 is about 1979.8989873223. The cubic root of 3920000 is about 157.6747032621.

Adding to 3920000 its reverse (293), we get a palindrome (3920293).

The spelling of 3920000 in words is "three million, nine hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 140 160 175 196 200 224 245 250 280 320 350 392 400 448 490 500 560 625 640 700 784 800 875 896 980 1000 1120 1225 1250 1400 1568 1600 1750 1960 2000 2240 2450 2500 2800 3136 3200 3500 3920 4000 4375 4480 4900 5000 5600 6125 6272 7000 7840 8000 8750 9800 10000 11200 12250 14000 15680 16000 17500 19600 20000 22400 24500 28000 30625 31360 35000 39200 40000 49000 56000 61250 70000 78400 80000 98000 112000 122500 140000 156800 196000 245000 280000 392000 490000 560000 784000 980000 1960000 3920000