Search a number
-
+
126122620 = 225134710321
BaseRepresentation
bin1111000010001…
…11101001111100
322210022200201011
413201013221330
5224241410440
620303125004
73061011301
oct741075174
9283280634
10126122620
1165213878
12362a3764
132018b990
1412a710a8
15b1149ea
hex7847a7c

126122620 has 48 divisors (see below), whose sum is σ = 291328128. Its totient is φ = 45573120.

The previous prime is 126122617. The next prime is 126122621. The reversal of 126122620 is 26221621.

It is a junction number, because it is equal to n+sod(n) for n = 126122591 and 126122600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126122621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7060 + ... + 17380.

It is an arithmetic number, because the mean of its divisors is an integer number (6069336).

Almost surely, 2126122620 is an apocalyptic number.

126122620 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 126122620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145664064).

126122620 is an abundant number, since it is smaller than the sum of its proper divisors (165205508).

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

126122620 is a wasteful number, since it uses less digits than its factorization.

126122620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10390 (or 10388 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 126122620 is about 11230.4327610293. The cubic root of 126122620 is about 501.4923679110.

Subtracting from 126122620 its reverse (26221621), we obtain a palindrome (99900999).

The spelling of 126122620 in words is "one hundred twenty-six million, one hundred twenty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 940 1222 2444 3055 6110 10321 12220 20642 41284 51605 103210 134173 206420 268346 485087 536692 670865 970174 1341730 1940348 2425435 2683460 4850870 6306131 9701740 12612262 25224524 31530655 63061310 126122620