Search a number
-
+
1242418900 = 225241303029
BaseRepresentation
bin100101000001101…
…1100111011010100
310012120211102022211
41022003130323110
510021024401100
6323141203204
742534246352
oct11203347324
93176742284
101242418900
11588349788
122a8100504
1316a527018
14bb0127d2
15741191ba
hex4a0dced4

1242418900 has 36 divisors (see below), whose sum is σ = 2761815420. Its totient is φ = 484844800.

The previous prime is 1242418883. The next prime is 1242418913. The reversal of 1242418900 is 98142421.

It can be written as a sum of positive squares in 6 ways, for example, as 6615184 + 1235803716 = 2572^2 + 35154^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147415 + ... + 155614.

It is an arithmetic number, because the mean of its divisors is an integer number (76717095).

Almost surely, 21242418900 is an apocalyptic number.

1242418900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242418900 is an abundant number, since it is smaller than the sum of its proper divisors (1519396520).

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

1242418900 is a wasteful number, since it uses less digits than its factorization.

1242418900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303084 (or 303077 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1242418900 is about 35247.9630617146. The cubic root of 1242418900 is about 1075.0351962516.

The spelling of 1242418900 in words is "one billion, two hundred forty-two million, four hundred eighteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 303029 606058 1212116 1515145 3030290 6060580 7575725 12424189 15151450 24848378 30302900 49696756 62120945 124241890 248483780 310604725 621209450 1242418900