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10195249 = 3121032
BaseRepresentation
bin100110111001…
…000100110001
3201011222020211
4212321010301
510102221444
61002304121
7152441521
oct46710461
921158224
1010195249
115833929
1234b8041
13215c6bc
1414d5681
15d65c34
hex9b9131

10195249 has 9 divisors (see below), whose sum is σ = 10638009. Its totient is φ = 9770580.

The previous prime is 10195247. The next prime is 10195271. The reversal of 10195249 is 94259101.

The square root of 10195249 is 3193.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 10195249 - 21 = 10195247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10195249.

It is not an unprimeable number, because it can be changed into a prime (10195247) 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 8 ways as a sum of consecutive naturals, for example, 98932 + ... + 99034.

It is an arithmetic number, because the mean of its divisors is an integer number (1182001).

Almost surely, 210195249 is an apocalyptic number.

10195249 is the 3193-rd square number.

10195249 is the 1597-th centered octagonal number.

It is an amenable number.

10195249 is a deficient number, since it is larger than the sum of its proper divisors (442760).

10195249 is an frugal number, since it uses more digits than its factorization.

10195249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The cubic root of 10195249 is about 216.8366117029.

The spelling of 10195249 in words is "ten million, one hundred ninety-five thousand, two hundred forty-nine".

Divisors: 1 31 103 961 3193 10609 98983 328879 10195249