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1550131440 = 2435111331247
BaseRepresentation
bin101110001100101…
…0010000011110000
311000000211211120120
41130121102003300
511133313201230
6413452410240
753261620434
oct13431220360
94000754516
101550131440
11726010770
12373176980
131b91c5450
14109c329c4
159114d310
hex5c6520f0

1550131440 has 480 divisors, whose sum is σ = 5957618688. Its totient is φ = 328550400.

The previous prime is 1550131433. The next prime is 1550131441. The reversal of 1550131440 is 441310551.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1550131440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1550131441) 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 95 ways as a sum of consecutive naturals, for example, 32981497 + ... + 32981543.

Almost surely, 21550131440 is an apocalyptic number.

1550131440 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 1550131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978809344).

1550131440 is an abundant number, since it is smaller than the sum of its proper divisors (4407487248).

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

1550131440 is a wasteful number, since it uses less digits than its factorization.

1550131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1550131440 is about 39371.7086243409. The cubic root of 1550131440 is about 1157.3272391969.

Adding to 1550131440 its reverse (441310551), we get a palindrome (1991441991).

The spelling of 1550131440 in words is "one billion, five hundred fifty million, one hundred thirty-one thousand, four hundred forty".