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1350270090 = 2325134326839
BaseRepresentation
bin101000001111011…
…0111110010001010
310111002202211100100
41100132313302022
510231132120330
6341552550230
745314051331
oct12036676212
93432684310
101350270090
116332129a4
12318252376
131869892b0
14cb488d18
157d820060
hex507b7c8a

1350270090 has 96 divisors (see below), whose sum is σ = 3868824960. Its totient is φ = 324632448.

The previous prime is 1350270083. The next prime is 1350270121. The reversal of 1350270090 is 900720531.

1350270090 is a `hidden beast` number, since 1 + 3 + 502 + 70 + 0 + 90 = 666.

1350270090 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36891 + ... + 63729.

It is an arithmetic number, because the mean of its divisors is an integer number (40300260).

Almost surely, 21350270090 is an apocalyptic number.

1350270090 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 1350270090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934412480).

1350270090 is an abundant number, since it is smaller than the sum of its proper divisors (2518554870).

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

1350270090 is a wasteful number, since it uses less digits than its factorization.

1350270090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26908 (or 26905 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1350270090 is about 36746.0214172909. The cubic root of 1350270090 is about 1105.2831498675.

The spelling of 1350270090 in words is "one billion, three hundred fifty million, two hundred seventy thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 43 45 65 78 86 90 117 129 130 195 215 234 258 387 390 430 559 585 645 774 1118 1170 1290 1677 1935 2795 3354 3870 5031 5590 8385 10062 16770 25155 26839 50310 53678 80517 134195 161034 241551 268390 348907 402585 483102 697814 805170 1046721 1154077 1207755 1744535 2093442 2308154 2415510 3140163 3462231 3489070 5233605 5770385 6280326 6924462 10386693 10467210 11540770 15003001 15700815 17311155 20773386 30006002 31401630 34622310 45009003 51933465 75015005 90018006 103866930 135027009 150030010 225045015 270054018 450090030 675135045 1350270090