Search a number
-
+
1301084694 = 23571323173
BaseRepresentation
bin100110110001100…
…1111101000010110
310100200012221200000
41031203033220112
510131034202234
6333034432130
744146015560
oct11543175026
93320187600
101301084694
11608479208
12303892646
13179727900
14c4b24330
1579356899
hex4d8cfa16

1301084694 has 288 divisors, whose sum is σ = 3785693184. Its totient is φ = 327525120.

The previous prime is 1301084689. The next prime is 1301084699. The reversal of 1301084694 is 4964801031.

1301084694 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1301084689) and next prime (1301084699).

It is a super-3 number, since 3×13010846943 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301084699) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17823042 + ... + 17823114.

It is an arithmetic number, because the mean of its divisors is an integer number (13144768).

Almost surely, 21301084694 is an apocalyptic number.

1301084694 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301084694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892846592).

1301084694 is an abundant number, since it is smaller than the sum of its proper divisors (2484608490).

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

1301084694 is a wasteful number, since it uses less digits than its factorization.

1301084694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1301084694 is about 36070.5516176285. The cubic root of 1301084694 is about 1091.6963441407.

The spelling of 1301084694 in words is "one billion, three hundred one million, eighty-four thousand, six hundred ninety-four".