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1327458990 = 2351113378363
BaseRepresentation
bin100111100011111…
…0110101010101110
310102111211220101210
41033013312222232
510204312141430
6335420015250
744616133554
oct11707665256
93374756353
101327458990
11621352650
12310691526
131820304c0
14c842bbd4
157b8162b0
hex4f1f6aae

1327458990 has 128 divisors (see below), whose sum is σ = 3844495872. Its totient is φ = 288990720.

The previous prime is 1327458973. The next prime is 1327459033. The reversal of 1327458990 is 998547231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154549 + ... + 162911.

It is an arithmetic number, because the mean of its divisors is an integer number (30035124).

Almost surely, 21327458990 is an apocalyptic number.

1327458990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327458990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922247936).

1327458990 is an abundant number, since it is smaller than the sum of its proper divisors (2517036882).

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

1327458990 is a wasteful number, since it uses less digits than its factorization.

1327458990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434.

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 1327458990 is about 36434.3106151331. The cubic root of 1327458990 is about 1099.0236488064.

The spelling of 1327458990 in words is "one billion, three hundred twenty-seven million, four hundred fifty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 37 39 55 65 66 74 78 110 111 130 143 165 185 195 222 286 330 370 390 407 429 481 555 715 814 858 962 1110 1221 1430 1443 2035 2145 2405 2442 2886 4070 4290 4810 5291 6105 7215 8363 10582 12210 14430 15873 16726 25089 26455 31746 41815 50178 52910 79365 83630 91993 108719 125445 158730 183986 217438 250890 275979 309431 326157 459965 543595 551958 618862 652314 919930 928293 1087190 1195909 1379895 1547155 1630785 1856586 2391818 2759790 3094310 3261570 3403741 3587727 4022603 4641465 5979545 6807482 7175454 8045206 9282930 10211223 11959090 12067809 17018705 17938635 20113015 20422446 24135618 34037410 35877270 40226030 44248633 51056115 60339045 88497266 102112230 120678090 132745899 221243165 265491798 442486330 663729495 1327458990