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10299312 = 2436883
BaseRepresentation
bin100111010010…
…011110110000
3201101021000000
4213102132300
510114034222
61004430000
7153354102
oct47223660
921337000
1010299312
1158a5031
123548300
132197b8a
141521572
15d869ac
hex9d27b0

10299312 has 70 divisors (see below), whose sum is σ = 29952572. Its totient is φ = 3429216.

The previous prime is 10299287. The next prime is 10299313. The reversal of 10299312 is 21399201.

10299312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10299313) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11223 + ... + 12105.

Almost surely, 210299312 is an apocalyptic number.

10299312 is a gapful number since it is divisible by the number (12) 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 10299312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976286).

10299312 is an abundant number, since it is smaller than the sum of its proper divisors (19653260).

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

10299312 is an frugal number, since it uses more digits than its factorization.

10299312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10299312 is about 3209.2541189504. The cubic root of 10299312 is about 217.5718668574.

The spelling of 10299312 in words is "ten million, two hundred ninety-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 883 972 1296 1458 1766 1944 2649 2916 3532 3888 5298 5832 7064 7947 10596 11664 14128 15894 21192 23841 31788 42384 47682 63576 71523 95364 127152 143046 190728 214569 286092 381456 429138 572184 643707 858276 1144368 1287414 1716552 2574828 3433104 5149656 10299312