Search a number
-
+
1379750400 = 29325272959
BaseRepresentation
bin101001000111101…
…0101001000000000
310120011020120201200
41102033111020000
510311204003100
6344524501200
746122453630
oct12217251000
93504216650
101379750400
11648918996
123260aa800
1318cb0b872
14d13606c0
15811e4e00
hex523d5200

1379750400 has 720 divisors, whose sum is σ = 5936673600. Its totient is φ = 299335680.

The previous prime is 1379750353. The next prime is 1379750401. The reversal of 1379750400 is 40579731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13797504002 = 3807422332600320000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1379750401) 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 71 ways as a sum of consecutive naturals, for example, 23385571 + ... + 23385629.

It is an arithmetic number, because the mean of its divisors is an integer number (8245380).

Almost surely, 21379750400 is an apocalyptic number.

1379750400 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 1379750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968336800).

1379750400 is an abundant number, since it is smaller than the sum of its proper divisors (4556923200).

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

1379750400 is a wasteful number, since it uses less digits than its factorization.

1379750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1379750400 is about 37144.9915870229. The cubic root of 1379750400 is about 1113.2691545907.

The spelling of 1379750400 in words is "one billion, three hundred seventy-nine million, seven hundred fifty thousand, four hundred".