Search a number
-
+
655441920 = 2143257127
BaseRepresentation
bin100111000100010…
…100000000000000
31200200022220021200
4213010110000000
52320243120140
6145012221200
722146110250
oct4704240000
91620286250
10655441920
11306a86241
1216360a800
13a5a3ac73
1463099960
153c820030
hex27114000

655441920 has 360 divisors, whose sum is σ = 2617165824. Its totient is φ = 148635648.

The previous prime is 655441883. The next prime is 655441921. The reversal of 655441920 is 29144556.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×6554419202 = 859208220986572800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655441921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160897 + ... + 5161023.

Almost surely, 2655441920 is an apocalyptic number.

655441920 is a gapful number since it is divisible by the number (60) 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 655441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308582912).

655441920 is an abundant number, since it is smaller than the sum of its proper divisors (1961723904).

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

655441920 is a wasteful number, since it uses less digits than its factorization.

655441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 655441920 is about 25601.5999500031. The cubic root of 655441920 is about 868.6498280374.

The spelling of 655441920 in words is "six hundred fifty-five million, four hundred forty-one thousand, nine hundred twenty".