Search a number
-
+
38106112 = 2101117199
BaseRepresentation
bin1001000101011…
…1010000000000
32122200222202111
42101113100000
534223343422
63440425104
7641616352
oct221272000
978628674
1038106112
111a567760
1210918194
137b827c5
1450bd0d2
15352aa77
hex2457400

38106112 has 88 divisors (see below), whose sum is σ = 88430400. Its totient is φ = 16220160.

The previous prime is 38106083. The next prime is 38106119. The reversal of 38106112 is 21160183.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38106119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191389 + ... + 191587.

Almost surely, 238106112 is an apocalyptic number.

38106112 is a gapful number since it is divisible by the number (32) 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 38106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44215200).

38106112 is an abundant number, since it is smaller than the sum of its proper divisors (50324288).

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

38106112 is a wasteful number, since it uses less digits than its factorization.

38106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 38106112 is about 6173.0148225968. The cubic root of 38106112 is about 336.5101848790.

Adding to 38106112 its reverse (21160183), we get a palindrome (59266295).

The spelling of 38106112 in words is "thirty-eight million, one hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 199 256 272 352 374 398 512 544 704 748 796 1024 1088 1408 1496 1592 2176 2189 2816 2992 3184 3383 4352 4378 5632 5984 6368 6766 8704 8756 11264 11968 12736 13532 17408 17512 23936 25472 27064 35024 37213 47872 50944 54128 70048 74426 95744 101888 108256 140096 148852 191488 203776 216512 280192 297704 433024 560384 595408 866048 1120768 1190816 1732096 2241536 2381632 3464192 4763264 9526528 19053056 38106112