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706308096 = 21131337239
BaseRepresentation
bin101010000110010…
…110100000000000
31211020001011120010
4222012112200000
52421303324341
6154030344520
723334343164
oct5206264000
91736034503
10706308096
113327687aa
1217865b140
13b343a6b0
1469b3aca4
154201b716
hex2a196800

706308096 has 192 divisors, whose sum is σ = 2091398400. Its totient is φ = 210567168.

The previous prime is 706308091. The next prime is 706308101. The reversal of 706308096 is 690803607.

It is an interprime number because it is at equal distance from previous prime (706308091) and next prime (706308101).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7063080962 = 997742252950290432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706308091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2955145 + ... + 2955383.

It is an arithmetic number, because the mean of its divisors is an integer number (10892700).

Almost surely, 2706308096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706308096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045699200).

706308096 is an abundant number, since it is smaller than the sum of its proper divisors (1385090304).

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

706308096 is a wasteful number, since it uses less digits than its factorization.

706308096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 706308096 is about 26576.4575517506. The cubic root of 706308096 is about 890.5631650120.

The spelling of 706308096 in words is "seven hundred six million, three hundred eight thousand, ninety-six".