Search a number
-
+
1355565420 = 22325112109571
BaseRepresentation
bin101000011001100…
…0100100101101100
310111110201212011200
41100303010211230
510234011043140
6342302245500
745410054526
oct12063044554
93443655150
101355565420
116361aa400
12319b86890
13187ac1621
14cc066a16
157e019030
hex50cc496c

1355565420 has 216 divisors, whose sum is σ = 4569124560. Its totient is φ = 325036800.

The previous prime is 1355565359. The next prime is 1355565443. The reversal of 1355565420 is 245655531.

1355565420 is a `hidden beast` number, since 1 + 3 + 55 + 565 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2373735 + ... + 2374305.

Almost surely, 21355565420 is an apocalyptic number.

1355565420 is a gapful number since it is divisible by the number (10) 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 1355565420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2284562280).

1355565420 is an abundant number, since it is smaller than the sum of its proper divisors (3213559140).

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

1355565420 is a wasteful number, since it uses less digits than its factorization.

1355565420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 1355565420 is about 36818.0040197727. The cubic root of 1355565420 is about 1106.7261215860.

The spelling of 1355565420 in words is "one billion, three hundred fifty-five million, five hundred sixty-five thousand, four hundred twenty".