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1350946080 = 253351128429
BaseRepresentation
bin101000010000101…
…1100110100100000
310111011001011122000
41100201130310200
510231320233310
6342015244000
745322565211
oct12041346440
93434034560
101350946080
11633634870
12318519600
13186b64ba3
14cb5c3408
157d9054c0
hex5085cd20

1350946080 has 192 divisors, whose sum is σ = 5158339200. Its totient is φ = 327490560.

The previous prime is 1350946049. The next prime is 1350946141. The reversal of 1350946080 is 806490531.

1350946080 is a `hidden beast` number, since 13 + 509 + 4 + 60 + 80 = 666.

It is a super-2 number, since 2×13509460802 = 3650110622134732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33306 + ... + 61734.

It is an arithmetic number, because the mean of its divisors is an integer number (26866350).

Almost surely, 21350946080 is an apocalyptic number.

1350946080 is a gapful number since it is divisible by the number (10) 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 1350946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579169600).

1350946080 is an abundant number, since it is smaller than the sum of its proper divisors (3807393120).

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

1350946080 is a wasteful number, since it uses less digits than its factorization.

1350946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28464 (or 28450 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1350946080 is about 36755.2184050102. The cubic root of 1350946080 is about 1105.4675662329.

The spelling of 1350946080 in words is "one billion, three hundred fifty million, nine hundred forty-six thousand, eighty".