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707116032 = 21032797113
BaseRepresentation
bin101010001001011…
…011110000000000
31211021120012211200
4222021123300000
52422010203112
6154055541200
723344246530
oct5211336000
91737505750
10707116032
1133316a817
1217898a800
13b366136c
1469cab4c0
154212acdc
hex2a25bc00

707116032 has 264 divisors, whose sum is σ = 2378384736. Its totient is φ = 198180864.

The previous prime is 707116021. The next prime is 707116063. The reversal of 707116032 is 230611707.

It is a super-2 number, since 2×7071160322 = 1000026165422850048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 707115987 and 707116005.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6257608 + ... + 6257720.

Almost surely, 2707116032 is an apocalyptic number.

707116032 is a gapful number since it is divisible by the number (72) 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 707116032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189192368).

707116032 is an abundant number, since it is smaller than the sum of its proper divisors (1671268704).

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

707116032 is a wasteful number, since it uses less digits than its factorization.

707116032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 707116032 is about 26591.6534273445. The cubic root of 707116032 is about 890.9026032216.

Adding to 707116032 its reverse (230611707), we get a palindrome (937727739).

The spelling of 707116032 in words is "seven hundred seven million, one hundred sixteen thousand, thirty-two".