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10194320 = 245612089
BaseRepresentation
bin100110111000…
…110110010000
3201011220222102
4212320312100
510102204240
61002255532
7152436023
oct46706620
921156872
1010194320
115833164
1234b75a8
13215c156
1414d51ba
15d65815
hex9b8d90

10194320 has 40 divisors (see below), whose sum is σ = 24101880. Its totient is φ = 4008960.

The previous prime is 10194227. The next prime is 10194329. The reversal of 10194320 is 2349101.

It can be written as a sum of positive squares in 4 ways, for example, as 559504 + 9634816 = 748^2 + 3104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10194292 and 10194301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10194329) 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 7 ways as a sum of consecutive naturals, for example, 3836 + ... + 5924.

It is an arithmetic number, because the mean of its divisors is an integer number (602547).

Almost surely, 210194320 is an apocalyptic number.

10194320 is a gapful number since it is divisible by the number (10) 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 10194320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12050940).

10194320 is an abundant number, since it is smaller than the sum of its proper divisors (13907560).

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

10194320 is a wasteful number, since it uses less digits than its factorization.

10194320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10194320 is about 3192.8545222105. The cubic root of 10194320 is about 216.8300253890.

The spelling of 10194320 in words is "ten million, one hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2089 2440 4178 4880 8356 10445 16712 20890 33424 41780 83560 127429 167120 254858 509716 637145 1019432 1274290 2038864 2548580 5097160 10194320