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1376080128 = 28325359191
BaseRepresentation
bin101001000000101…
…0101000100000000
310112220100010001200
41102001111010000
510304234031003
6344314101200
746046326263
oct12201250400
93486303050
101376080128
11646841405
12324a1a800
1318c1250c7
14d0a86cda
1580c1c6a3
hex52055100

1376080128 has 216 divisors, whose sum is σ = 4132477440. Its totient is φ = 440094720.

The previous prime is 1376080117. The next prime is 1376080159. The reversal of 1376080128 is 8210806731.

1376080128 is a `hidden beast` number, since 1 + 37 + 608 + 0 + 12 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1376080092 and 1376080101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7204513 + ... + 7204703.

It is an arithmetic number, because the mean of its divisors is an integer number (19131840).

Almost surely, 21376080128 is an apocalyptic number.

1376080128 is a gapful number since it is divisible by the number (18) 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 1376080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066238720).

1376080128 is an abundant number, since it is smaller than the sum of its proper divisors (2756397312).

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

1376080128 is a wasteful number, since it uses less digits than its factorization.

1376080128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1376080128 is about 37095.5540193161. The cubic root of 1376080128 is about 1112.2811427916.

Adding to 1376080128 its reverse (8210806731), we get a palindrome (9586886859).

The spelling of 1376080128 in words is "one billion, three hundred seventy-six million, eighty thousand, one hundred twenty-eight".