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1950208 = 2913293
BaseRepresentation
bin111011100001000000000
310200002011221
413130020000
5444401313
6105444424
722401511
oct7341000
93602157
101950208
111112247
127a0714
13533890
1438aa08
15287c8d
hex1dc200

1950208 has 40 divisors (see below), whose sum is σ = 4210668. Its totient is φ = 897024.

The previous prime is 1950187. The next prime is 1950211. The reversal of 1950208 is 8020591.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 12544 = 1392^2 + 112^2 .

It is a super-2 number, since 2×19502082 = 7606622486528, which contains 22 as substring.

It is a plaindrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6510 + ... + 6802.

21950208 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 1950208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105334).

1950208 is an abundant number, since it is smaller than the sum of its proper divisors (2260460).

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

1950208 is an equidigital number, since it uses as much as digits as its factorization.

1950208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 1950208 is about 1396.4984783379. The cubic root of 1950208 is about 124.9377396610.

Adding to 1950208 its reverse (8020591), we get a palindrome (9970799).

The spelling of 1950208 in words is "one million, nine hundred fifty thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 293 416 512 586 832 1172 1664 2344 3328 3809 4688 6656 7618 9376 15236 18752 30472 37504 60944 75008 121888 150016 243776 487552 975104 1950208