Search a number
-
+
10720256 = 21019229
BaseRepresentation
bin101000111001…
…010000000000
3202011122102112
4220321100000
510221022011
61021434452
7160056251
oct50712000
922148375
1010720256
116062318
12370ba28
1322b4661
1415d0b28
15e1b58b
hexa39400

10720256 has 66 divisors (see below), whose sum is σ = 23397210. Its totient is φ = 4902912.

The previous prime is 10720253. The next prime is 10720261. The reversal of 10720256 is 65202701.

It can be written as a sum of positive squares in only one way, i.e., 9241600 + 1478656 = 3040^2 + 1216^2 .

It is a super-2 number, since 2×107202562 = 229847777411072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10720253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 369650 + ... + 369678.

Almost surely, 210720256 is an apocalyptic number.

10720256 is a gapful number since it is divisible by the number (16) 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 10720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11698605).

10720256 is an abundant number, since it is smaller than the sum of its proper divisors (12676954).

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

10720256 is an equidigital number, since it uses as much as digits as its factorization.

10720256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10720256 is about 3274.1802027378. The cubic root of 10720256 is about 220.4965094581.

Adding to 10720256 its reverse (65202701), we get a palindrome (75922957).

The spelling of 10720256 in words is "ten million, seven hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 256 304 361 464 512 551 608 722 928 1024 1102 1216 1444 1856 2204 2432 2888 3712 4408 4864 5776 7424 8816 9728 10469 11552 14848 17632 19456 20938 23104 29696 35264 41876 46208 70528 83752 92416 141056 167504 184832 282112 335008 369664 564224 670016 1340032 2680064 5360128 10720256