Search a number
-
+
1970200648 = 231323174597
BaseRepresentation
bin111010101101110…
…1110000001001000
312002022021120012101
41311123232001020
513013332410043
6523300123144
766552300133
oct16533560110
95068246171
101970200648
119211439a9
1246b9964b4
13255242800
1414993d21a
15b7e7824d
hex756ee048

1970200648 has 48 divisors (see below), whose sum is σ = 4013640180. Its totient is φ = 906257664.

The previous prime is 1970200607. The next prime is 1970200651. The reversal of 1970200648 is 8460020791.

It can be written as a sum of positive squares in 6 ways, for example, as 35784324 + 1934416324 = 5982^2 + 43982^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426286 + ... + 430882.

Almost surely, 21970200648 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 1970200648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006820090).

1970200648 is an abundant number, since it is smaller than the sum of its proper divisors (2043439532).

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

1970200648 is a wasteful number, since it uses less digits than its factorization.

1970200648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 1970200648 is about 44386.9423141536. The cubic root of 1970200648 is about 1253.6322401488.

The spelling of 1970200648 in words is "one billion, nine hundred seventy million, two hundred thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 317 338 634 676 1268 1352 2536 4121 4597 8242 9194 16484 18388 32968 36776 53573 59761 107146 119522 214292 239044 428584 478088 776893 1457249 1553786 2914498 3107572 5828996 6215144 11657992 18944237 37888474 75776948 151553896 246275081 492550162 985100324 1970200648