Search a number
-
+
1553341440 = 21035714447
BaseRepresentation
bin101110010010110…
…0001110000000000
311000020212220212110
41130211201300000
511140123411230
6414045255320
753331120150
oct13445416000
94006786773
101553341440
11727903462
12374264540
131b9a7a561
1410a42a760
15915844b0
hex5c961c00

1553341440 has 176 divisors, whose sum is σ = 5678410752. Its totient is φ = 355024896.

The previous prime is 1553341411. The next prime is 1553341441. The reversal of 1553341440 is 441433551.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1553341398 and 1553341407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1553341441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 100297 + ... + 114743.

Almost surely, 21553341440 is an apocalyptic number.

1553341440 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 1553341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839205376).

1553341440 is an abundant number, since it is smaller than the sum of its proper divisors (4125069312).

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

1553341440 is a wasteful number, since it uses less digits than its factorization.

1553341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14482 (or 14464 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1553341440 is about 39412.4528543962. The cubic root of 1553341440 is about 1158.1255497881.

Adding to 1553341440 its reverse (441433551), we get a palindrome (1994774991).

The spelling of 1553341440 in words is "one billion, five hundred fifty-three million, three hundred forty-one thousand, four hundred forty".