Search a number
-
+
6103680000 = 21035411172
BaseRepresentation
bin1011010111100111…
…01100010000000000
3120202101011001220020
411223303230100000
5100000020230000
62445355013440
7304153265265
oct55363542000
916671131806
106103680000
112652406140
12122413a280
137636ca592
1441c8bb26c
1525acb7ba0
hex16bcec400

6103680000 has 660 divisors, whose sum is σ = 23558546352. Its totient is φ = 1392640000.

The previous prime is 6103679941. The next prime is 6103680019. The reversal of 6103680000 is 863016.

It is a tau number, because it is divible by the number of its divisors (660).

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 59 ways as a sum of consecutive naturals, for example, 359039992 + ... + 359040008.

Almost surely, 26103680000 is an apocalyptic number.

6103680000 is a gapful number since it is divisible by the number (60) 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 6103680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11779273176).

6103680000 is an abundant number, since it is smaller than the sum of its proper divisors (17454866352).

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

6103680000 is a wasteful number, since it uses less digits than its factorization.

6103680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 38 counting only the distinct ones).

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

The square root of 6103680000 is about 78126.0519929172. The cubic root of 6103680000 is about 1827.5274919246.

The spelling of 6103680000 in words is "six billion, one hundred three million, six hundred eighty thousand".