Search a number
-
+
124900020 = 2232574172
BaseRepresentation
bin1110111000111…
…01001010110100
322201000120121200
413130131022310
5223433300040
620221012500
73044430000
oct734351264
9281016550
10124900020
1164559263
12359b4130
131cb5134b
1412833700
15ae72630
hex771d2b4

124900020 has 270 divisors, whose sum is σ = 469509222. Its totient is φ = 26869248.

The previous prime is 124899997. The next prime is 124900033. The reversal of 124900020 is 20009421.

It can be written as a sum of positive squares in 3 ways, for example, as 41835024 + 83064996 = 6468^2 + 9114^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 124899966 and 124900002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7347052 + ... + 7347068.

Almost surely, 2124900020 is an apocalyptic number.

124900020 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 124900020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234754611).

124900020 is an abundant number, since it is smaller than the sum of its proper divisors (344609202).

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

124900020 is a wasteful number, since it uses less digits than its factorization.

124900020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 124900020 is about 11175.8677515439. The cubic root of 124900020 is about 499.8666577762.

Adding to 124900020 its reverse (20009421), we get a palindrome (144909441).

The spelling of 124900020 in words is "one hundred twenty-four million, nine hundred thousand, twenty".