Search a number
-
+
1350811072 = 26132835737
BaseRepresentation
bin101000010000011…
…1011110111000000
310111010210022102201
41100200323313000
510231301423242
6342012322544
745321463462
oct12040736700
93433708381
101350811072
11633552396
12318473454
13186b185c0
14cb58a132
157d8ca4b7
hex5083bdc0

1350811072 has 56 divisors (see below), whose sum is σ = 2897414576. Its totient is φ = 621139968.

The previous prime is 1350811069. The next prime is 1350811079. The reversal of 1350811072 is 2701180531.

It is a self number, because there is not a number n which added to its sum of digits gives 1350811072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350811079) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 232588 + ... + 238324.

It is an arithmetic number, because the mean of its divisors is an integer number (51739546).

Almost surely, 21350811072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448707288).

1350811072 is an abundant number, since it is smaller than the sum of its proper divisors (1546603504).

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

1350811072 is a wasteful number, since it uses less digits than its factorization.

1350811072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6045 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 1350811072 is about 36753.3817763754. The cubic root of 1350811072 is about 1105.4307397107.

The spelling of 1350811072 in words is "one billion, three hundred fifty million, eight hundred eleven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 283 416 566 832 1132 2264 3679 4528 5737 7358 9056 11474 14716 18112 22948 29432 45896 58864 74581 91792 117728 149162 183584 235456 298324 367168 596648 1193296 1623571 2386592 3247142 4773184 6494284 12988568 21106423 25977136 42212846 51954272 84425692 103908544 168851384 337702768 675405536 1350811072