Search a number
-
+
1366800000 = 273551767
BaseRepresentation
bin101000101110111…
…1011011010000000
310112020212122010020
41101131323122000
510244400100000
6343343133440
745604415436
oct12135733200
93466778106
101366800000
11641583085
123218a4280
1318a2260c7
14cd74cd56
157eed7ba0
hex5177b680

1366800000 has 384 divisors, whose sum is σ = 4876562880. Its totient is φ = 337920000.

The previous prime is 1366799981. The next prime is 1366800031. The reversal of 1366800000 is 86631.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20399967 + ... + 20400033.

Almost surely, 21366800000 is an apocalyptic number.

1366800000 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 1366800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438281440).

1366800000 is an abundant number, since it is smaller than the sum of its proper divisors (3509762880).

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

1366800000 is an frugal number, since it uses more digits than its factorization.

1366800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1366800000 is about 36970.2583166523. The cubic root of 1366800000 is about 1109.7751350357.

Adding to 1366800000 its reverse (86631), we get a palindrome (1366886631).

The spelling of 1366800000 in words is "one billion, three hundred sixty-six million, eight hundred thousand".