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706907040 = 25357613449
BaseRepresentation
bin101010001000101…
…000101110100000
31211021011121011020
4222020220232200
52421432011130
6154051245440
723342416320
oct5210505640
91737147136
10706907040
113330377a4
121788a9880
13b35ba1b8
1469c55280
15420d8e10
hex2a228ba0

706907040 has 192 divisors, whose sum is σ = 2587334400. Its totient is φ = 158883840.

The previous prime is 706907029. The next prime is 706907041. The reversal of 706907040 is 40709607.

It is a junction number, because it is equal to n+sod(n) for n = 706906992 and 706907010.

It is not an unprimeable number, because it can be changed into a prime (706907041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203236 + ... + 206684.

It is an arithmetic number, because the mean of its divisors is an integer number (13475700).

Almost surely, 2706907040 is an apocalyptic number.

706907040 is a gapful number since it is divisible by the number (70) 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 706907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293667200).

706907040 is an abundant number, since it is smaller than the sum of its proper divisors (1880427360).

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

706907040 is a wasteful number, since it uses less digits than its factorization.

706907040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 706907040 is about 26587.7234828407. The cubic root of 706907040 is about 890.8148241987.

The spelling of 706907040 in words is "seven hundred six million, nine hundred seven thousand, forty".