Search a number
-
+
1808040960 = 210335112941
BaseRepresentation
bin110101111000100…
…1000010000000000
311200000010222221000
41223301020100000
512200324302320
6455224332000
762543044305
oct15361102000
94600128830
101808040960
11848656a30
12425614000
1322a77702b
141321ab0ac
15a8ae5c90
hex6bc48400

1808040960 has 704 divisors, whose sum is σ = 7428153600. Its totient is φ = 412876800.

The previous prime is 1808040943. The next prime is 1808040973. The reversal of 1808040960 is 690408081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×18080409602 = 6538024226075443200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44098540 + ... + 44098580.

Almost surely, 21808040960 is an apocalyptic number.

1808040960 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 1808040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714076800).

1808040960 is an abundant number, since it is smaller than the sum of its proper divisors (5620112640).

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

1808040960 is a wasteful number, since it uses less digits than its factorization.

1808040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1808040960 is about 42521.0648972953. The cubic root of 1808040960 is about 1218.2490694020.

The spelling of 1808040960 in words is "one billion, eight hundred eight million, forty thousand, nine hundred sixty".