Search a number
-
+
2402042100 = 2235222513557
BaseRepresentation
bin1000111100101100…
…0100000011110100
320012101212101022020
42033023010003310
514404410321400
61034204033140
7113345010123
oct21713040364
96171771266
102402042100
111022987867
125705327b0
132c38522b3
1418b031aba
15e0d2b2a0
hex8f2c40f4

2402042100 has 72 divisors (see below), whose sum is σ = 6954950688. Its totient is φ = 640080000.

The previous prime is 2402042077. The next prime is 2402042101. The reversal of 2402042100 is 12402042.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2402042100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402042101) 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, 673522 + ... + 677078.

Almost surely, 22402042100 is an apocalyptic number.

2402042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2402042100 is an abundant number, since it is smaller than the sum of its proper divisors (4552908588).

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

2402042100 is a wasteful number, since it uses less digits than its factorization.

2402042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2402042100 is about 49010.6325198931. The cubic root of 2402042100 is about 1339.2455283536.

Adding to 2402042100 its reverse (12402042), we get a palindrome (2414444142).

The spelling of 2402042100 in words is "two billion, four hundred two million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2251 3557 4502 6753 7114 9004 10671 11255 13506 14228 17785 21342 22510 27012 33765 35570 42684 45020 53355 56275 67530 71140 88925 106710 112550 135060 168825 177850 213420 225100 266775 337650 355700 533550 675300 1067100 8006807 16013614 24020421 32027228 40034035 48040842 80068070 96081684 120102105 160136140 200170175 240204210 400340350 480408420 600510525 800680700 1201021050 2402042100