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670220928 = 27321344753
BaseRepresentation
bin100111111100101…
…100001010000000
31201201010202021100
4213330230022000
52333034032203
6150301054400
722415532606
oct4774541200
91651122240
10670220928
1131435a9a3
12168557400
13a8b13b40
1465025876
153dc8dea3
hex27f2c280

670220928 has 96 divisors (see below), whose sum is σ = 2077033140. Its totient is φ = 206217216.

The previous prime is 670220917. The next prime is 670220959. The reversal of 670220928 is 829022076.

It can be written as a sum of positive squares in 2 ways, for example, as 619412544 + 50808384 = 24888^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 670220892 and 670220901.

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 11 ways as a sum of consecutive naturals, for example, 7401 + ... + 37352.

Almost surely, 2670220928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038516570).

670220928 is an abundant number, since it is smaller than the sum of its proper divisors (1406812212).

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

670220928 is a wasteful number, since it uses less digits than its factorization.

670220928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44786 (or 44771 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 670220928 is about 25888.6254559797. The cubic root of 670220928 is about 875.1301805766.

The spelling of 670220928 in words is "six hundred seventy million, two hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 44753 89506 134259 179012 268518 358024 402777 537036 581789 716048 805554 1074072 1163578 1432096 1611108 1745367 2148144 2327156 2864192 3222216 3490734 4296288 4654312 5236101 5728384 6444432 6981468 8592576 9308624 10472202 12888864 13962936 17185152 18617248 20944404 25777728 27925872 37234496 41888808 51555456 55851744 74468992 83777616 111703488 167555232 223406976 335110464 670220928