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10196928 = 26347281
BaseRepresentation
bin100110111001…
…011111000000
3201012001120000
4212321133000
510102300203
61002320000
7152446440
oct46713700
921161500
1010196928
115835115
1234b9000
1321603b1
1414d6120
15d664a3
hex9b97c0

10196928 has 140 divisors (see below), whose sum is σ = 34667952. Its totient is φ = 2903040.

The previous prime is 10196903. The next prime is 10196929. The reversal of 10196928 is 82969101.

10196928 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 10196892 and 10196901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10196929) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36148 + ... + 36428.

Almost surely, 210196928 is an apocalyptic number.

10196928 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 10196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17333976).

10196928 is an abundant number, since it is smaller than the sum of its proper divisors (24471024).

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

10196928 is an equidigital number, since it uses as much as digits as its factorization.

10196928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 10196928 is about 3193.2629080613. The cubic root of 10196928 is about 216.8485142629.

The spelling of 10196928 in words is "ten million, one hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 281 288 324 336 378 432 448 504 562 567 576 648 672 756 843 864 1008 1124 1134 1296 1344 1512 1686 1728 1967 2016 2248 2268 2529 2592 3024 3372 3934 4032 4496 4536 5058 5184 5901 6048 6744 7587 7868 8992 9072 10116 11802 12096 13488 15174 15736 17703 17984 18144 20232 22761 23604 26976 30348 31472 35406 36288 40464 45522 47208 53109 53952 60696 62944 70812 80928 91044 94416 106218 121392 125888 141624 159327 161856 182088 188832 212436 242784 283248 318654 364176 377664 424872 485568 566496 637308 728352 849744 1132992 1274616 1456704 1699488 2549232 3398976 5098464 10196928