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10230768 = 2432233089
BaseRepresentation
bin100111000001…
…101111110000
3201020202222100
4213001233300
510104341033
61003140400
7152650212
oct47015760
921222870
1010230768
115858589
123514700
132172912
1415045b2
15d71513
hex9c1bf0

10230768 has 60 divisors (see below), whose sum is σ = 29886480. Its totient is φ = 3260928.

The previous prime is 10230767. The next prime is 10230769. The reversal of 10230768 is 86703201.

10230768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10230767) and next prime (10230769).

It is a super-2 number, since 2×102307682 = 209337227739648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10230761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1768 + ... + 4856.

It is an arithmetic number, because the mean of its divisors is an integer number (498108).

Almost surely, 210230768 is an apocalyptic number.

10230768 is a gapful number since it is divisible by the number (18) 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 10230768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14943240).

10230768 is an abundant number, since it is smaller than the sum of its proper divisors (19655712).

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

10230768 is a wasteful number, since it uses less digits than its factorization.

10230768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10230768 is about 3198.5571747274. The cubic root of 10230768 is about 217.0881305825.

Adding to 10230768 its reverse (86703201), we get a palindrome (96933969).

The spelling of 10230768 in words is "ten million, two hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3089 3312 6178 9267 12356 18534 24712 27801 37068 49424 55602 71047 74136 111204 142094 148272 213141 222408 284188 426282 444816 568376 639423 852564 1136752 1278846 1705128 2557692 3410256 5115384 10230768