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10619328 = 263194171
BaseRepresentation
bin101000100000…
…100111000000
3201222111222110
4220200213000
510204304303
61015335320
7156156066
oct50404700
921874873
1010619328
115aa3505
123681540
13227a735
1415a6036
15deb703
hexa209c0

10619328 has 112 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 3225600.

The previous prime is 10619327. The next prime is 10619341. The reversal of 10619328 is 82391601.

It is a super-2 number, since 2×106193282 = 225540254343168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10619295 and 10619304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10619327) 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 15 ways as a sum of consecutive naturals, for example, 149533 + ... + 149603.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 210619328 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 10619328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

10619328 is an abundant number, since it is smaller than the sum of its proper divisors (20104512).

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

10619328 is a wasteful number, since it uses less digits than its factorization.

10619328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 10619328 is about 3258.7310413718. The cubic root of 10619328 is about 219.8023569303.

The spelling of 10619328 in words is "ten million, six hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 71 76 82 96 114 123 142 152 164 192 213 228 246 284 304 328 426 456 492 568 608 656 779 852 912 984 1136 1216 1312 1349 1558 1704 1824 1968 2272 2337 2624 2698 2911 3116 3408 3648 3936 4047 4544 4674 5396 5822 6232 6816 7872 8094 8733 9348 10792 11644 12464 13632 16188 17466 18696 21584 23288 24928 32376 34932 37392 43168 46576 49856 55309 64752 69864 74784 86336 93152 110618 129504 139728 149568 165927 186304 221236 259008 279456 331854 442472 558912 663708 884944 1327416 1769888 2654832 3539776 5309664 10619328