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10720720 = 245294621
BaseRepresentation
bin101000111001…
…010111010000
3202011200001201
4220321113100
510221030340
61021440544
7160060513
oct50712720
922150051
1010720720
1160626aa
123710154
1322b492a
1415d0d7a
15e1b79a
hexa395d0

10720720 has 40 divisors (see below), whose sum is σ = 25790760. Its totient is φ = 4139520.

The previous prime is 10720711. The next prime is 10720733. The reversal of 10720720 is 2702701.

It can be written as a sum of positive squares in 4 ways, for example, as 760384 + 9960336 = 872^2 + 3156^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×107207202 = 229867674636800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 10 + ... + 4630.

It is an arithmetic number, because the mean of its divisors is an integer number (644769).

Almost surely, 210720720 is an apocalyptic number.

10720720 is a gapful number since it is divisible by the number (10) 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 10720720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12895380).

10720720 is an abundant number, since it is smaller than the sum of its proper divisors (15070040).

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

10720720 is a wasteful number, since it uses less digits than its factorization.

10720720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 10720720 is about 3274.2510594027. The cubic root of 10720720 is about 220.4996906292.

The spelling of 10720720 in words is "ten million, seven hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 4621 9242 18484 23105 36968 46210 73936 92420 134009 184840 268018 369680 536036 670045 1072072 1340090 2144144 2680180 5360360 10720720