Search a number
-
+
6980036976 = 243511237401
BaseRepresentation
bin1101000000000101…
…01110100101110000
3200000110011121200000
412200002232211300
5103243342140401
63112342230000
7334654223013
oct64002564560
920013147600
106980036976
112a6205a100
121429725300
138731365c3
144a304137a
152acbc4186
hex1a00ae970

6980036976 has 360 divisors, whose sum is σ = 22925793072. Its totient is φ = 2052864000.

The previous prime is 6980036957. The next prime is 6980036981. The reversal of 6980036976 is 6796300896.

It is a happy number.

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

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 71 ways as a sum of consecutive naturals, for example, 17406376 + ... + 17406776.

Almost surely, 26980036976 is an apocalyptic number.

6980036976 is a gapful number since it is divisible by the number (66) 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 6980036976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11462896536).

6980036976 is an abundant number, since it is smaller than the sum of its proper divisors (15945756096).

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

6980036976 is a wasteful number, since it uses less digits than its factorization.

6980036976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 6980036976 is about 83546.6155867489. The cubic root of 6980036976 is about 1911.1109803477.

The spelling of 6980036976 in words is "six billion, nine hundred eighty million, thirty-six thousand, nine hundred seventy-six".