Search a number
-
+
10276308 = 2234723197
BaseRepresentation
bin100111001100…
…110111010100
3201100002110000
4213030313110
510112320213
61004131300
7153230040
oct47146724
921302400
1010276308
115889819
123536b30
13218a573
141517020
15d7ec73
hex9ccdd4

10276308 has 120 divisors (see below), whose sum is σ = 32199552. Its totient is φ = 2794176.

The previous prime is 10276307. The next prime is 10276337. The reversal of 10276308 is 80367201.

10276308 is a `hidden beast` number, since 1 + 0 + 27 + 630 + 8 = 666.

It is a super-2 number, since 2×102763082 = 211205012221728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10276303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52066 + ... + 52262.

Almost surely, 210276308 is an apocalyptic number.

10276308 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 10276308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099776).

10276308 is an abundant number, since it is smaller than the sum of its proper divisors (21923244).

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

10276308 is a wasteful number, since it uses less digits than its factorization.

10276308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

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

The square root of 10276308 is about 3205.6681050914. The cubic root of 10276308 is about 217.4097604250.

The spelling of 10276308 in words is "ten million, two hundred seventy-six thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 197 207 252 276 322 324 378 394 414 483 567 591 621 644 756 788 828 966 1134 1182 1242 1379 1449 1773 1863 1932 2268 2364 2484 2758 2898 3546 3726 4137 4347 4531 5319 5516 5796 7092 7452 8274 8694 9062 10638 12411 13041 13593 15957 16548 17388 18124 21276 24822 26082 27186 31717 31914 37233 40779 49644 52164 54372 63434 63828 74466 81558 95151 111699 122337 126868 148932 163116 190302 223398 244674 285453 367011 380604 446796 489348 570906 734022 856359 1141812 1468044 1712718 2569077 3425436 5138154 10276308