Search a number
-
+
20090112 = 283737101
BaseRepresentation
bin100110010100…
…0110100000000
31101210200110020
41030220310000
520120340422
61554333440
7332522520
oct114506400
941720406
1020090112
1110381aa9
12688a280
134215453
14294d680
151b6c95c
hex1328d00

20090112 has 144 divisors (see below), whose sum is σ = 63380352. Its totient is φ = 5529600.

The previous prime is 20090099. The next prime is 20090129. The reversal of 20090112 is 21109002.

It is a happy number.

It is a super-2 number, since 2×200901122 = 807225200345088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20090091 and 20090100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198862 + ... + 198962.

Almost surely, 220090112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31690176).

20090112 is an abundant number, since it is smaller than the sum of its proper divisors (43290240).

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

20090112 is a wasteful number, since it uses less digits than its factorization.

20090112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 20090112 is about 4482.1994600865. The cubic root of 20090112 is about 271.8488202563.

Adding to 20090112 its reverse (21109002), we get a palindrome (41199114).

It can be divided in two parts, 20090 and 112, that added together give a palindrome (20202).

The spelling of 20090112 in words is "twenty million, ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 101 111 112 128 148 168 192 202 222 224 256 259 296 303 336 384 404 444 448 518 592 606 672 707 768 777 808 888 896 1036 1184 1212 1344 1414 1554 1616 1776 1792 2072 2121 2368 2424 2688 2828 3108 3232 3552 3737 4144 4242 4736 4848 5376 5656 6216 6464 7104 7474 8288 8484 9472 9696 11211 11312 12432 12928 14208 14948 16576 16968 19392 22422 22624 24864 25856 26159 28416 29896 33152 33936 38784 44844 45248 49728 52318 59792 66304 67872 77568 78477 89688 90496 99456 104636 119584 135744 156954 179376 180992 198912 209272 239168 271488 313908 358752 418544 478336 542976 627816 717504 837088 956672 1255632 1435008 1674176 2511264 2870016 3348352 5022528 6696704 10045056 20090112