Search a number
-
+
7061690790 = 2325711672227
BaseRepresentation
bin1101001001110100…
…01101100110100110
3200020010211001122100
412210322031212212
5103430243101130
63124420312530
7336665244540
oct64472154646
920203731570
107061690790
112aa415a8a0
121450b42746
1388702567b
144adc18690
152b4e52c60
hex1a4e8d9a6

7061690790 has 288 divisors, whose sum is σ = 23340006144. Its totient is φ = 1439095680.

The previous prime is 7061690777. The next prime is 7061690821. The reversal of 7061690790 is 970961607.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31108657 + ... + 31108883.

It is an arithmetic number, because the mean of its divisors is an integer number (81041688).

Almost surely, 27061690790 is an apocalyptic number.

7061690790 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7061690790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670003072).

7061690790 is an abundant number, since it is smaller than the sum of its proper divisors (16278315354).

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

7061690790 is a wasteful number, since it uses less digits than its factorization.

7061690790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 7061690790 is about 84033.8669228068. The cubic root of 7061690790 is about 1918.5342899039.

The spelling of 7061690790 in words is "seven billion, sixty-one million, six hundred ninety thousand, seven hundred ninety".