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1376120064 = 283112941137
BaseRepresentation
bin101001000000101…
…1110110100000000
310112220102010211210
41102001132310000
510304241320224
6344315010120
746046553564
oct12201366400
93486363753
101376120064
11646869410
12324a39940
1318c13a337
14d0a976a4
1580c29429
hex5205ed00

1376120064 has 288 divisors, whose sum is σ = 4264928640. Its totient is φ = 389939200.

The previous prime is 1376120059. The next prime is 1376120077. The reversal of 1376120064 is 4600216731.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10044604 + ... + 10044740.

It is an arithmetic number, because the mean of its divisors is an integer number (14808780).

Almost surely, 21376120064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1376120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132464320).

1376120064 is an abundant number, since it is smaller than the sum of its proper divisors (2888808576).

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

1376120064 is a wasteful number, since it uses less digits than its factorization.

1376120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1376120064 is about 37096.0923009419. The cubic root of 1376120064 is about 1112.2919027343.

Adding to 1376120064 its reverse (4600216731), we get a palindrome (5976336795).

The spelling of 1376120064 in words is "one billion, three hundred seventy-six million, one hundred twenty thousand, sixty-four".