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1376010240 = 2143511509
BaseRepresentation
bin101001000000100…
…0100000000000000
310112220012120012020
41102001010000000
510304224311430
6344312401440
746045615443
oct12201040000
93486176166
101376010240
116467a3950
123249a6280
1318c0cc357
14d0a6965a
1580c06b10
hex52044000

1376010240 has 240 divisors, whose sum is σ = 4812816960. Its totient is φ = 332922880.

The previous prime is 1376010239. The next prime is 1376010253. The reversal of 1376010240 is 420106731.

It is a tau number, because it is divible by the number of its divisors (240).

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 1376010240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2703106 + ... + 2703614.

It is an arithmetic number, because the mean of its divisors is an integer number (20053404).

Almost surely, 21376010240 is an apocalyptic number.

1376010240 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 1376010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406408480).

1376010240 is an abundant number, since it is smaller than the sum of its proper divisors (3436806720).

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

1376010240 is an equidigital number, since it uses as much as digits as its factorization.

1376010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1376010240 is about 37094.6120076757. The cubic root of 1376010240 is about 1112.2623123909.

Adding to 1376010240 its reverse (420106731), we get a palindrome (1796116971).

The spelling of 1376010240 in words is "one billion, three hundred seventy-six million, ten thousand, two hundred forty".