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655672320 = 2103551731
BaseRepresentation
bin100111000101001…
…100010000000000
31200200202121100000
4213011030100000
52320323003240
6145021200000
722151060052
oct4705142000
91620677300
10655672320
11307123356
12163700000
13a5abbab4
14631198d2
153c868430
hex2714c400

655672320 has 528 divisors, whose sum is σ = 2575093248. Its totient is φ = 159252480.

The previous prime is 655672279. The next prime is 655672321. The reversal of 655672320 is 23276556.

It is a happy number.

655672320 is a `hidden beast` number, since 6 + 556 + 72 + 32 + 0 = 666.

It is a super-3 number, since 3×6556723203 (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (655672321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21150705 + ... + 21150735.

Almost surely, 2655672320 is an apocalyptic number.

655672320 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 655672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287546624).

655672320 is an abundant number, since it is smaller than the sum of its proper divisors (1919420928).

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

655672320 is a wasteful number, since it uses less digits than its factorization.

655672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 655672320 is about 25606.0992734153. The cubic root of 655672320 is about 868.7515982925.

The spelling of 655672320 in words is "six hundred fifty-five million, six hundred seventy-two thousand, three hundred twenty".