Search a number
-
+
124900000 = 25551249
BaseRepresentation
bin1110111000111…
…01001010100000
322201000120120221
413130131022200
5223433300000
620221012424
73044426641
oct734351240
9281016527
10124900000
1164559245
12359b4114
131cb51334
14128336c8
15ae7261a
hex771d2a0

124900000 has 72 divisors (see below), whose sum is σ = 307597500. Its totient is φ = 49920000.

The previous prime is 124899997. The next prime is 124900033. The reversal of 124900000 is 9421.

It can be written as a sum of positive squares in 6 ways, for example, as 18974736 + 105925264 = 4356^2 + 10292^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 99376 + ... + 100624.

Almost surely, 2124900000 is an apocalyptic number.

124900000 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 124900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153798750).

124900000 is an abundant number, since it is smaller than the sum of its proper divisors (182697500).

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

124900000 is an frugal number, since it uses more digits than its factorization.

124900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 124900000 is about 11175.8668567588. The cubic root of 124900000 is about 499.8666310953.

Adding to 124900000 its reverse (9421), we get a palindrome (124909421).

The spelling of 124900000 in words is "one hundred twenty-four million, nine hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1249 1250 2000 2498 2500 3125 4000 4996 5000 6245 6250 9992 10000 12490 12500 19984 20000 24980 25000 31225 39968 49960 50000 62450 99920 100000 124900 156125 199840 249800 312250 499600 624500 780625 999200 1249000 1561250 2498000 3122500 3903125 4996000 6245000 7806250 12490000 15612500 24980000 31225000 62450000 124900000