Search a number
-
+
1520768 = 271092
BaseRepresentation
bin101110011010010000000
32212021002202
411303102000
5342131033
652332332
715632504
oct5632200
92767082
101520768
11949637
126140a8
13413282
142b8304
152008e8
hex173480

1520768 has 24 divisors (see below), whose sum is σ = 3057705. Its totient is φ = 753408.

The previous prime is 1520759. The next prime is 1520777. The reversal of 1520768 is 8670251.

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 is an interprime number because it is at equal distance from previous prime (1520759) and next prime (1520777).

It can be written as a sum of positive squares in 2 ways, for example, as 1459264 + 61504 = 1208^2 + 248^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=872.

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1520768.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13898 + ... + 14006.

21520768 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 1520768

1520768 is an abundant number, since it is smaller than the sum of its proper divisors (1536937).

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

1520768 is an frugal number, since it uses more digits than its factorization.

1520768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 1520768 is about 1233.1942263893. The cubic root of 1520768 is about 114.9973030243.

The spelling of 1520768 in words is "one million, five hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 872 1744 3488 6976 11881 13952 23762 47524 95048 190096 380192 760384 1520768