Search a number
-
+
1655296 = 295361
BaseRepresentation
bin110010100001000000000
310010002122021
412110020000
5410432141
655251224
720032636
oct6241000
93102567
101655296
11a30715
12679b14
1345c586
14311356
1522a6d1
hex194200

1655296 has 40 divisors (see below), whose sum is σ = 3425004. Its totient is φ = 798720.

The previous prime is 1655281. The next prime is 1655309. The reversal of 1655296 is 6925561.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1597696 + 57600 = 1264^2 + 240^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27106 + ... + 27166.

21655296 is an apocalyptic number.

1655296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1655296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712502).

1655296 is an abundant number, since it is smaller than the sum of its proper divisors (1769708).

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

1655296 is an frugal number, since it uses more digits than its factorization.

1655296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its digits is 16200, while the sum is 34.

The square root of 1655296 is about 1286.5830715504. The cubic root of 1655296 is about 118.2928663233.

It can be divided in two parts, 16 and 55296, that multiplied together give a cube (884736 = 963).

The spelling of 1655296 in words is "one million, six hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 61 64 106 122 128 212 244 256 424 488 512 848 976 1696 1952 3233 3392 3904 6466 6784 7808 12932 13568 15616 25864 27136 31232 51728 103456 206912 413824 827648 1655296