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3970960 = 245721013
BaseRepresentation
bin1111001001011110010000
321110202010121
433021132100
52004032320
6221040024
745516100
oct17113620
97422117
103970960
112272494
1213b6014
13a905a6
14755200
155368aa
hex3c9790

3970960 has 60 divisors (see below), whose sum is σ = 10750428. Its totient is φ = 1360128.

The previous prime is 3970949. The next prime is 3970991. The reversal of 3970960 is 690793.

3970960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 3519376 = 672^2 + 1876^2 .

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3414 + ... + 4426.

Almost surely, 23970960 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 3970960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375214).

3970960 is an abundant number, since it is smaller than the sum of its proper divisors (6779468).

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

3970960 is a wasteful number, since it uses less digits than its factorization.

3970960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 3970960 is about 1992.7267750497. The cubic root of 3970960 is about 158.3550207289.

The spelling of 3970960 in words is "three million, nine hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1013 1960 2026 3920 4052 5065 7091 8104 10130 14182 16208 20260 28364 35455 40520 49637 56728 70910 81040 99274 113456 141820 198548 248185 283640 397096 496370 567280 794192 992740 1985480 3970960