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1375430784 = 27372135623
BaseRepresentation
bin101000111111011…
…0110100010000000
310112212010010022220
41101332312202000
510304102241114
6344252131040
746040653200
oct12176664200
93485103286
101375430784
11646438562
12324766a80
1318bc58690
14d0958400
1580b400a9
hex51fb6880

1375430784 has 192 divisors, whose sum is σ = 4577711040. Its totient is φ = 362686464.

The previous prime is 1375430783. The next prime is 1375430801. The reversal of 1375430784 is 4870345731.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375430783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241797 + ... + 247419.

It is an arithmetic number, because the mean of its divisors is an integer number (23842245).

Almost surely, 21375430784 is an apocalyptic number.

1375430784 is a gapful number since it is divisible by the number (14) 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 1375430784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288855520).

1375430784 is an abundant number, since it is smaller than the sum of its proper divisors (3202280256).

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

1375430784 is a wasteful number, since it uses less digits than its factorization.

1375430784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 1375430784 is about 37086.8006708586. The cubic root of 1375430784 is about 1112.1061610428.

The spelling of 1375430784 in words is "one billion, three hundred seventy-five million, four hundred thirty thousand, seven hundred eighty-four".