Search a number
-
+
1389801600 = 2732521141107
BaseRepresentation
bin101001011010110…
…1011000010000000
310120212011020101100
41102311223002000
510321242122400
6345524134400
746304055465
oct12265530200
93525136340
101389801600
11653563570
12329537400
13191c1a815
14d281966c
158202d100
hex52d6b080

1389801600 has 576 divisors, whose sum is σ = 5593704480. Its totient is φ = 325632000.

The previous prime is 1389801599. The next prime is 1389801617. The reversal of 1389801600 is 61089831.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12988747 + ... + 12988853.

Almost surely, 21389801600 is an apocalyptic number.

1389801600 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 1389801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796852240).

1389801600 is an abundant number, since it is smaller than the sum of its proper divisors (4203902880).

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

1389801600 is a wasteful number, since it uses less digits than its factorization.

1389801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1389801600 is about 37280.0429184302. The cubic root of 1389801600 is about 1115.9659295106.

The spelling of 1389801600 in words is "one billion, three hundred eighty-nine million, eight hundred one thousand, six hundred".