Search a number
-
+
10445112 = 2338199
BaseRepresentation
bin100111110110…
…000100111000
3201122200000000
4213312010320
510133220422
61011513000
7154532136
oct47660470
921580000
1010445112
115994627
1235b8760
132219352
14155c756
15db4cac
hex9f6138

10445112 has 72 divisors (see below), whose sum is σ = 29523000. Its totient is φ = 3464208.

The previous prime is 10445101. The next prime is 10445167. The reversal of 10445112 is 21154401.

10445112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52389 + ... + 52587.

Almost surely, 210445112 is an apocalyptic number.

10445112 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 10445112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761500).

10445112 is an abundant number, since it is smaller than the sum of its proper divisors (19077888).

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

10445112 is an frugal number, since it uses more digits than its factorization.

10445112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10445112 is about 3231.8898496081. The cubic root of 10445112 is about 218.5937298056.

Adding to 10445112 its reverse (21154401), we get a palindrome (31599513).

The spelling of 10445112 in words is "ten million, four hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 199 216 243 324 398 486 597 648 729 796 972 1194 1458 1592 1791 1944 2187 2388 2916 3582 4374 4776 5373 5832 6561 7164 8748 10746 13122 14328 16119 17496 21492 26244 32238 42984 48357 52488 64476 96714 128952 145071 193428 290142 386856 435213 580284 870426 1160568 1305639 1740852 2611278 3481704 5222556 10445112