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386960 = 2457691
BaseRepresentation
bin1011110011110010000
3201122210212
41132132100
544340320
612143252
73201110
oct1363620
9648725
10386960
11244802
12167b28
13107192
14a1040
15799c5
hex5e790

386960 has 40 divisors (see below), whose sum is σ = 1029696. Its totient is φ = 132480.

The previous prime is 386927. The next prime is 386963. The reversal of 386960 is 69683.

386960 = T329 + T330 + ... + T335.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (386963) by changing a digit.

386960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215 + ... + 905.

2386960 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 386960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514848).

386960 is an abundant number, since it is smaller than the sum of its proper divisors (642736).

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

386960 is a wasteful number, since it uses less digits than its factorization.

386960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 386960 is about 622.0610902476. The cubic root of 386960 is about 72.8711055058.

The spelling of 386960 in words is "three hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 691 1382 2764 3455 4837 5528 6910 9674 11056 13820 19348 24185 27640 38696 48370 55280 77392 96740 193480 386960