Search a number
-
+
122106544 = 2472115167
BaseRepresentation
bin1110100011100…
…11001010110000
322111202122200121
413101303022300
5222224402134
620041100024
73011613520
oct721631260
9274678617
10122106544
1162a204aa
1234a87614
131c3b39c1
1412307680
15aabeab4
hex74732b0

122106544 has 40 divisors (see below), whose sum is σ = 271712768. Its totient is φ = 52073280.

The previous prime is 122106511. The next prime is 122106547. The reversal of 122106544 is 445601221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122106547) 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 7 ways as a sum of consecutive naturals, for example, 21049 + ... + 26215.

Almost surely, 2122106544 is an apocalyptic number.

122106544 is a gapful number since it is divisible by the number (14) 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 122106544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135856384).

122106544 is an abundant number, since it is smaller than the sum of its proper divisors (149606224).

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

122106544 is a wasteful number, since it uses less digits than its factorization.

122106544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 122106544 is about 11050.1829849102. The cubic root of 122106544 is about 496.1119024313. Note that the first 3 decimals are identical.

Adding to 122106544 its reverse (445601221), we get a palindrome (567707765).

The spelling of 122106544 in words is "one hundred twenty-two million, one hundred six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 211 422 844 1477 1688 2954 3376 5167 5908 10334 11816 20668 23632 36169 41336 72338 82672 144676 289352 578704 1090237 2180474 4360948 7631659 8721896 15263318 17443792 30526636 61053272 122106544