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10197192 = 2334143241
BaseRepresentation
bin100110111001…
…100011001000
3201012001220210
4212321203020
510102302232
61002321120
7152450265
oct46714310
921161823
1010197192
115835335
1234b91a0
132160555
1414d626c
15d665cc
hex9b98c8

10197192 has 64 divisors (see below), whose sum is σ = 26832960. Its totient is φ = 3225600.

The previous prime is 10197169. The next prime is 10197193. The reversal of 10197192 is 29179101.

It is not an unprimeable number, because it can be changed into a prime (10197193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42192 + ... + 42432.

It is an arithmetic number, because the mean of its divisors is an integer number (419265).

Almost surely, 210197192 is an apocalyptic number.

10197192 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 10197192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416480).

10197192 is an abundant number, since it is smaller than the sum of its proper divisors (16635768).

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

10197192 is a wasteful number, since it uses less digits than its factorization.

10197192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 10197192 is about 3193.3042448223. The cubic root of 10197192 is about 216.8503856603.

The spelling of 10197192 in words is "ten million, one hundred ninety-seven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 41 43 82 86 123 129 164 172 241 246 258 328 344 482 492 516 723 964 984 1032 1446 1763 1928 2892 3526 5289 5784 7052 9881 10363 10578 14104 19762 20726 21156 29643 31089 39524 41452 42312 59286 62178 79048 82904 118572 124356 237144 248712 424883 849766 1274649 1699532 2549298 3399064 5098596 10197192