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1308930048 = 2123235507
BaseRepresentation
bin100111000000100…
…1011000000000000
310101012222112110200
41032001023000000
510140041230143
6333514525200
744302502406
oct11601130000
93335875420
101308930048
11611947578
12306436800
1317b24382a
14c5ba7476
1579da61d3
hex4e04b000

1308930048 has 78 divisors (see below), whose sum is σ = 3780998364. Its totient is φ = 436297728.

The previous prime is 1308930017. The next prime is 1308930071. The reversal of 1308930048 is 8400398031.

1308930048 is a `hidden beast` number, since 1 + 308 + 9 + 300 + 48 = 666.

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 = 1308929994 and 1308930021.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19111 + ... + 54617.

It is an arithmetic number, because the mean of its divisors is an integer number (48474338).

Almost surely, 21308930048 is an apocalyptic number.

1308930048 is a gapful number since it is divisible by the number (18) 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 1308930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890499182).

1308930048 is an abundant number, since it is smaller than the sum of its proper divisors (2472068316).

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

1308930048 is an equidigital number, since it uses as much as digits as its factorization.

1308930048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35537 (or 35512 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1308930048 is about 36179.1382981961. The cubic root of 1308930048 is about 1093.8862059359.

The spelling of 1308930048 in words is "one billion, three hundred eight million, nine hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 35507 36864 71014 106521 142028 213042 284056 319563 426084 568112 639126 852168 1136224 1278252 1704336 2272448 2556504 3408672 4544896 5113008 6817344 9089792 10226016 13634688 18179584 20452032 27269376 36359168 40904064 54538752 72718336 81808128 109077504 145436672 163616256 218155008 327232512 436310016 654465024 1308930048