Search a number
-
+
1261443456 = 27347213191
BaseRepresentation
bin100101100110000…
…0001100110000000
310020220121222010000
41023030001212000
510040412142311
6325101040000
743155043500
oct11314014600
93226558100
101261443456
11598063159
122b2556000
13171458460
14bd765a00
1575b26056
hex4b301980

1261443456 has 480 divisors, whose sum is σ = 4727479680. Its totient is φ = 330946560.

The previous prime is 1261443419. The next prime is 1261443467. The reversal of 1261443456 is 6543441621.

1261443456 is a `hidden beast` number, since 1 + 2 + 614 + 4 + 34 + 5 + 6 = 666.

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

Its product of digits (69120) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 1261443456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6604321 + ... + 6604511.

It is an arithmetic number, because the mean of its divisors is an integer number (9848916).

Almost surely, 21261443456 is an apocalyptic number.

1261443456 is a gapful number since it is divisible by the number (16) 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 1261443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363739840).

1261443456 is an abundant number, since it is smaller than the sum of its proper divisors (3466036224).

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

1261443456 is a wasteful number, since it uses less digits than its factorization.

1261443456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 216 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1261443456 is about 35516.8052617349. The cubic root of 1261443456 is about 1080.4945882825.

It can be divided in two parts, 126144 and 3456, that added together give a square (129600 = 3602).

The spelling of 1261443456 in words is "one billion, two hundred sixty-one million, four hundred forty-three thousand, four hundred fifty-six".