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1376099424 = 253273197227
BaseRepresentation
bin101001000000101…
…1001110001100000
310112220101002112100
41102001121301200
510304240140144
6344314330400
746046436450
oct12201316140
93486332470
101376099424
11646854957
12324a29a00
1318c130b1b
14d0a8dd60
1580c23269
hex52059c60

1376099424 has 288 divisors, whose sum is σ = 4684732416. Its totient is φ = 374906880.

The previous prime is 1376099411. The next prime is 1376099429. The reversal of 1376099424 is 4249906731.

It is a happy number.

1376099424 is a `hidden beast` number, since 1 + 37 + 609 + 9 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 1376099424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376099429) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6061999 + ... + 6062225.

It is an arithmetic number, because the mean of its divisors is an integer number (16266432).

Almost surely, 21376099424 is an apocalyptic number.

1376099424 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 1376099424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342366208).

1376099424 is an abundant number, since it is smaller than the sum of its proper divisors (3308632992).

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

1376099424 is a wasteful number, since it uses less digits than its factorization.

1376099424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1376099424 is about 37095.8141034807. The cubic root of 1376099424 is about 1112.2863417322.

The spelling of 1376099424 in words is "one billion, three hundred seventy-six million, ninety-nine thousand, four hundred twenty-four".