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1130398208 = 294153849
BaseRepresentation
bin100001101100000…
…1000001000000000
32220210001011211022
41003120020020000
54303340220313
6304100205012
740004140412
oct10330101000
92823034738
101130398208
115300979a5
12276699768
13150264ca4
14aa1b29b2
156938cc08
hex43608200

1130398208 has 40 divisors (see below), whose sum is σ = 2313719100. Its totient is φ = 551403520.

The previous prime is 1130398189. The next prime is 1130398219. The reversal of 1130398208 is 8028930311.

It can be written as a sum of positive squares in 2 ways, for example, as 1121446144 + 8952064 = 33488^2 + 2992^2 .

It is a super-3 number, since 3×11303982083 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 5933 + ... + 47916.

Almost surely, 21130398208 is an apocalyptic number.

It is an amenable number.

1130398208 is an abundant number, since it is smaller than the sum of its proper divisors (1183320892).

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

1130398208 is an frugal number, since it uses more digits than its factorization.

1130398208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53908 (or 53892 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 1130398208 is about 33621.3950930059. The cubic root of 1130398208 is about 1041.7027726905.

The spelling of 1130398208 in words is "one billion, one hundred thirty million, three hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1312 2624 5248 10496 20992 53849 107698 215396 430792 861584 1723168 2207809 3446336 4415618 6892672 8831236 13785344 17662472 27570688 35324944 70649888 141299776 282599552 565199104 1130398208