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655143840 = 253251379443
BaseRepresentation
bin100111000011001…
…011001110100000
31200122202202101200
4213003023032200
52320204100330
6145002001200
722143426231
oct4703131640
91618682350
10655143840
113068a229a
121634a6200
13a59653a0
146301d088
153c7b1a60
hex270cb3a0

655143840 has 288 divisors, whose sum is σ = 2443633920. Its totient is φ = 158865408.

The previous prime is 655143821. The next prime is 655143869. The reversal of 655143840 is 48341556.

It is a happy number.

655143840 is a `hidden beast` number, since 65 + 514 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 655143795 and 655143804.

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 47 ways as a sum of consecutive naturals, for example, 1478659 + ... + 1479101.

It is an arithmetic number, because the mean of its divisors is an integer number (8484840).

Almost surely, 2655143840 is an apocalyptic number.

655143840 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 655143840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221816960).

655143840 is an abundant number, since it is smaller than the sum of its proper divisors (1788490080).

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

655143840 is a wasteful number, since it uses less digits than its factorization.

655143840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 655143840 is about 25595.7777768131. Note that the first 5 decimals coincide. The cubic root of 655143840 is about 868.5181273765.

The spelling of 655143840 in words is "six hundred fifty-five million, one hundred forty-three thousand, eight hundred forty".