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1242410200 = 235259211499
BaseRepresentation
bin100101000001101…
…1010110011011000
310012120210222101121
41022003122303120
510021024111300
6323141055024
742534212113
oct11203326330
93176728347
101242410200
11588343199
122a80b7474
1316a523085
14bb00d57a
157411681a
hex4a0dacd8

1242410200 has 96 divisors (see below), whose sum is σ = 2957400000. Its totient is φ = 485251200.

The previous prime is 1242410179. The next prime is 1242410203. The reversal of 1242410200 is 20142421.

1242410200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242410203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2489551 + ... + 2490049.

It is an arithmetic number, because the mean of its divisors is an integer number (30806250).

Almost surely, 21242410200 is an apocalyptic number.

1242410200 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 1242410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478700000).

1242410200 is an abundant number, since it is smaller than the sum of its proper divisors (1714989800).

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

1242410200 is a wasteful number, since it uses less digits than its factorization.

1242410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1242410200 is about 35247.8396501119. The cubic root of 1242410200 is about 1075.0326869455.

Adding to 1242410200 its reverse (20142421), we get a palindrome (1262552621).

The spelling of 1242410200 in words is "one billion, two hundred forty-two million, four hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 211 236 295 422 472 499 590 844 998 1055 1180 1475 1688 1996 2110 2360 2495 2950 3992 4220 4990 5275 5900 8440 9980 10550 11800 12449 12475 19960 21100 24898 24950 29441 42200 49796 49900 58882 62245 99592 99800 105289 117764 124490 147205 210578 235528 248980 294410 311225 421156 497960 526445 588820 622450 736025 842312 1052890 1177640 1244900 1472050 2105780 2489800 2632225 2944100 4211560 5264450 5888200 6212051 10528900 12424102 21057800 24848204 31060255 49696408 62120510 124241020 155301275 248482040 310602550 621205100 1242410200