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10441900 = 2252722131
BaseRepresentation
bin100111110101…
…010010101100
3201122111121001
4213311102230
510133120100
61011450044
7154516600
oct47652254
921574531
1010441900
115992177
1235b6924
132217a51
14155b500
15db3d6a
hex9f54ac

10441900 has 54 divisors (see below), whose sum is σ = 26370708. Its totient is φ = 3578400.

The previous prime is 10441897. The next prime is 10441903. The reversal of 10441900 is 914401.

It is an interprime number because it is at equal distance from previous prime (10441897) and next prime (10441903).

It is a super-2 number, since 2×104419002 = 218066551220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10441903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3835 + ... + 5965.

Almost surely, 210441900 is an apocalyptic number.

10441900 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 10441900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13185354).

10441900 is an abundant number, since it is smaller than the sum of its proper divisors (15928808).

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

10441900 is a wasteful number, since it uses less digits than its factorization.

10441900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10441900 is about 3231.3928885235. The cubic root of 10441900 is about 218.5713207577.

The spelling of 10441900 in words is "ten million, four hundred forty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2131 2450 4262 4900 8524 10655 14917 21310 29834 42620 53275 59668 74585 104419 106550 149170 208838 213100 298340 372925 417676 522095 745850 1044190 1491700 2088380 2610475 5220950 10441900