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3990320 = 245311609
BaseRepresentation
bin1111001110001100110000
321111201200122
433032030300
52010142240
6221305412
745626405
oct17161460
97451618
103990320
112285a94
121405268
13a99349
1475c2ac
1553c4b5
hex3ce330

3990320 has 40 divisors (see below), whose sum is σ = 9582720. Its totient is φ = 1543680.

The previous prime is 3990307. The next prime is 3990331. The reversal of 3990320 is 230993.

3990320 = T275 + T276 + ... + T354.

3990320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3990320.

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, 1676 + ... + 3284.

It is an arithmetic number, because the mean of its divisors is an integer number (239568).

Almost surely, 23990320 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 3990320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791360).

3990320 is an abundant number, since it is smaller than the sum of its proper divisors (5592400).

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

3990320 is a wasteful number, since it uses less digits than its factorization.

3990320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

The square root of 3990320 is about 1997.5785341258. The cubic root of 3990320 is about 158.6119514122.

The spelling of 3990320 in words is "three million, nine hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 1609 2480 3218 6436 8045 12872 16090 25744 32180 49879 64360 99758 128720 199516 249395 399032 498790 798064 997580 1995160 3990320