[go: up one dir, main page]

Search a number
-
+
10194816 = 273139191
BaseRepresentation
bin100110111000…
…111110000000
3201011221122210
4212320332000
510102213231
61002302120
7152440332
oct46707600
921157583
1010194816
115833575
1234b7940
13215c448
1414d5452
15d65a46
hex9b8f80

10194816 has 64 divisors (see below), whose sum is σ = 27417600. Its totient is φ = 3356160.

The previous prime is 10194799. The next prime is 10194829. The reversal of 10194816 is 61849101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 53281 + ... + 53471.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 210194816 is an apocalyptic number.

10194816 is a gapful number since it is divisible by the number (16) 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 10194816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708800).

10194816 is an abundant number, since it is smaller than the sum of its proper divisors (17222784).

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

10194816 is a wasteful number, since it uses less digits than its factorization.

10194816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 10194816 is about 3192.9321947076. The cubic root of 10194816 is about 216.8335419207.

The spelling of 10194816 in words is "ten million, one hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 191 192 278 382 384 417 556 573 764 834 1112 1146 1528 1668 2224 2292 3056 3336 4448 4584 6112 6672 8896 9168 12224 13344 17792 18336 24448 26549 26688 36672 53098 53376 73344 79647 106196 159294 212392 318588 424784 637176 849568 1274352 1699136 2548704 3398272 5097408 10194816