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10720668 = 22372331179
BaseRepresentation
bin101000111001…
…010110011100
3202011122222210
4220321112130
510221030133
61021440420
7160060410
oct50712634
922148883
1010720668
116062662
123710110
1322b48ba
1415d0d40
15e1b763
hexa3959c

10720668 has 96 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 2819520.

The previous prime is 10720667. The next prime is 10720679. The reversal of 10720668 is 86602701.

It is a happy number.

10720668 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107206682 = 229865444732448, which contains 22 as substring.

10720668 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10720663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59803 + ... + 59981.

It is an arithmetic number, because the mean of its divisors is an integer number (322560).

Almost surely, 210720668 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 10720668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

10720668 is an abundant number, since it is smaller than the sum of its proper divisors (20245092).

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

10720668 is a wasteful number, since it uses less digits than its factorization.

10720668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 10720668 is about 3274.2431186459. The cubic root of 10720668 is about 220.4993341232.

The spelling of 10720668 in words is "ten million, seven hundred twenty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 42 46 62 69 84 92 93 124 138 161 179 186 217 276 322 358 372 434 483 537 644 651 713 716 868 966 1074 1253 1302 1426 1932 2139 2148 2506 2604 2852 3759 4117 4278 4991 5012 5549 7518 8234 8556 9982 11098 12351 14973 15036 16468 16647 19964 22196 24702 28819 29946 33294 38843 49404 57638 59892 66588 77686 86457 115276 116529 127627 155372 172914 233058 255254 345828 382881 466116 510508 765762 893389 1531524 1786778 2680167 3573556 5360334 10720668