Search a number
-
+
10720864 = 2571119229
BaseRepresentation
bin101000111001…
…011001100000
3202011200021001
4220321121200
510221031424
61021441344
7160061110
oct50713140
922150231
1010720864
116062820
123710254
1322b4a0b
1415d1040
15e1b844
hexa39660

10720864 has 96 divisors (see below), whose sum is σ = 27820800. Its totient is φ = 3939840.

The previous prime is 10720859. The next prime is 10720867. The reversal of 10720864 is 46802701.

It is a super-2 number, since 2×107208642 = 229873849812992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10720867) 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, 46702 + ... + 46930.

It is an arithmetic number, because the mean of its divisors is an integer number (289800).

Almost surely, 210720864 is an apocalyptic number.

10720864 is a gapful number since it is divisible by the number (14) 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 10720864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910400).

10720864 is an abundant number, since it is smaller than the sum of its proper divisors (17099936).

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

10720864 is a wasteful number, since it uses less digits than its factorization.

10720864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 10720864 is about 3274.2730490904. The cubic root of 10720864 is about 220.5006778705.

The spelling of 10720864 in words is "ten million, seven hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 76 77 88 112 133 152 154 176 209 224 229 266 304 308 352 418 458 532 608 616 836 916 1064 1232 1463 1603 1672 1832 2128 2464 2519 2926 3206 3344 3664 4256 4351 5038 5852 6412 6688 7328 8702 10076 11704 12824 17404 17633 20152 23408 25648 30457 34808 35266 40304 46816 47861 51296 60914 69616 70532 80608 95722 121828 139232 141064 191444 243656 282128 335027 382888 487312 564256 670054 765776 974624 1340108 1531552 2680216 5360432 10720864