Search a number
-
+
1378989360 = 243457243101
BaseRepresentation
bin101001000110001…
…1011010100110000
310120002210220210000
41102030123110300
510311010124420
6344500310000
746113134100
oct12214332460
93502726700
101378989360
11648449131
123259a2300
1318c903348
14d1203200
15810e4690
hex5231b530

1378989360 has 600 divisors, whose sum is σ = 5757394896. Its totient is φ = 304819200.

The previous prime is 1378989347. The next prime is 1378989397. The reversal of 1378989360 is 639898731.

It is a super-2 number, since 2×13789893602 = 3803223309986419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1378989297 and 1378989306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13653310 + ... + 13653410.

Almost surely, 21378989360 is an apocalyptic number.

1378989360 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 1378989360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878697448).

1378989360 is an abundant number, since it is smaller than the sum of its proper divisors (4378405536).

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

1378989360 is a wasteful number, since it uses less digits than its factorization.

1378989360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 1378989360 is about 37134.7459934762. The cubic root of 1378989360 is about 1113.0644320122.

The spelling of 1378989360 in words is "one billion, three hundred seventy-eight million, nine hundred eighty-nine thousand, three hundred sixty".