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1379896320 = 21035118167
BaseRepresentation
bin101001000111111…
…1000110000000000
310120011111222220010
41102033320300000
510311223140240
6344531544520
746123632225
oct12217706000
93504458803
101379896320
11648a08590
1232615b140
1318cb600ca
14d139b94c
1581223280
hex523f8c00

1379896320 has 176 divisors, whose sum is σ = 4815330048. Its totient is φ = 334479360.

The previous prime is 1379896319. The next prime is 1379896327. The reversal of 1379896320 is 236989731.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×13798963202 = 3808227707899084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1379896320.

It is not an unprimeable number, because it can be changed into a prime (1379896327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164877 + ... + 173043.

Almost surely, 21379896320 is an apocalyptic number.

1379896320 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 1379896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407665024).

1379896320 is an abundant number, since it is smaller than the sum of its proper divisors (3435433728).

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

1379896320 is a wasteful number, since it uses less digits than its factorization.

1379896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8206 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 1379896320 is about 37146.9557299114. The cubic root of 1379896320 is about 1113.3083990097.

The spelling of 1379896320 in words is "one billion, three hundred seventy-nine million, eight hundred ninety-six thousand, three hundred twenty".