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10380636 = 2234723199
BaseRepresentation
bin100111100110…
…010101011100
3201112101120000
4213212111130
510124140021
61010254300
7154143150
oct47462534
921471500
1010380636
115950142
123587390
1321c5bb6
141543060
15da0b26
hex9e655c

10380636 has 120 divisors (see below), whose sum is σ = 32524800. Its totient is φ = 2822688.

The previous prime is 10380619. The next prime is 10380641. The reversal of 10380636 is 63608301.

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

It is a congruent number.

It is an unprimeable number.

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, 52065 + ... + 52263.

It is an arithmetic number, because the mean of its divisors is an integer number (271040).

Almost surely, 210380636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10380636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262400).

10380636 is an abundant number, since it is smaller than the sum of its proper divisors (22144164).

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

10380636 is a wasteful number, since it uses less digits than its factorization.

10380636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10380636 is about 3221.8994397715. The cubic root of 10380636 is about 218.1430198056.

Adding to 10380636 its reverse (63608301), we get a palindrome (73988937).

The spelling of 10380636 in words is "ten million, three hundred eighty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 108 126 138 161 162 189 199 207 252 276 322 324 378 398 414 483 567 597 621 644 756 796 828 966 1134 1194 1242 1393 1449 1791 1863 1932 2268 2388 2484 2786 2898 3582 3726 4179 4347 4577 5373 5572 5796 7164 7452 8358 8694 9154 10746 12537 13041 13731 16119 16716 17388 18308 21492 25074 26082 27462 32039 32238 37611 41193 50148 52164 54924 64078 64476 75222 82386 96117 112833 123579 128156 150444 164772 192234 225666 247158 288351 370737 384468 451332 494316 576702 741474 865053 1153404 1482948 1730106 2595159 3460212 5190318 10380636