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1349485920 = 2535561569
BaseRepresentation
bin101000001101111…
…1000010101100000
310111001021222200000
41100123320111200
510230432022140
6341524100000
745304304166
oct12033702540
93431258600
101349485920
11632827822
12317b34600
131867733a3
14cb323236
157d717a30
hex506f8560

1349485920 has 288 divisors, whose sum is σ = 4862501280. Its totient is φ = 353341440.

The previous prime is 1349485919. The next prime is 1349485939. The reversal of 1349485920 is 295849431.

1349485920 is a `hidden beast` number, since 13 + 4 + 9 + 48 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13494859202 = 3642224496556492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2371396 + ... + 2371964.

It is an arithmetic number, because the mean of its divisors is an integer number (16883685).

Almost surely, 21349485920 is an apocalyptic number.

1349485920 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 1349485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431250640).

1349485920 is an abundant number, since it is smaller than the sum of its proper divisors (3513015360).

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

1349485920 is an equidigital number, since it uses as much as digits as its factorization.

1349485920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1349485920 is about 36735.3497329207. The cubic root of 1349485920 is about 1105.0691438617.

The spelling of 1349485920 in words is "one billion, three hundred forty-nine million, four hundred eighty-five thousand, nine hundred twenty".