Search a number
-
+
655042080 = 253571137479
BaseRepresentation
bin100111000010110…
…010011000100000
31200122120120210210
4213002302120200
52320142321310
6144555454120
722142523450
oct4702623040
91618516723
10655042080
113068328a0
12163457340
13a592ac84
1462dd3d60
153c791820
hex270b2620

655042080 has 384 divisors, whose sum is σ = 2647572480. Its totient is φ = 132157440.

The previous prime is 655042061. The next prime is 655042099. The reversal of 655042080 is 80240556.

It is an interprime number because it is at equal distance from previous prime (655042061) and next prime (655042099).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1367281 + ... + 1367759.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2655042080 is an apocalyptic number.

655042080 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 655042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323786240).

655042080 is an abundant number, since it is smaller than the sum of its proper divisors (1992530400).

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

655042080 is a wasteful number, since it uses less digits than its factorization.

655042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 655042080 is about 25593.7898717638. The cubic root of 655042080 is about 868.4731576179.

The spelling of 655042080 in words is "six hundred fifty-five million, forty-two thousand, eighty".