Search a number
-
+
2412420500 = 225371936277
BaseRepresentation
bin1000111111001010…
…1001110110010100
320020010101122210102
42033302221312110
514420034424000
61035214313232
7113532143630
oct21762516624
96203348712
102412420500
111028826256
12573ab8818
132c5a47169
1418c573dc0
15e1bcb3d5
hex8fca9d94

2412420500 has 96 divisors (see below), whose sum is σ = 6338492160. Its totient is φ = 783561600.

The previous prime is 2412420473. The next prime is 2412420503. The reversal of 2412420500 is 50242142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412420503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48362 + ... + 84638.

It is an arithmetic number, because the mean of its divisors is an integer number (66025960).

Almost surely, 22412420500 is an apocalyptic number.

2412420500 is a gapful number since it is divisible by the number (20) 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 2412420500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169246080).

2412420500 is an abundant number, since it is smaller than the sum of its proper divisors (3926071660).

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

2412420500 is a wasteful number, since it uses less digits than its factorization.

2412420500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36322 (or 36310 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2412420500 is about 49116.3974656122. The cubic root of 2412420500 is about 1341.1715639512.

Adding to 2412420500 its reverse (50242142), we get a palindrome (2462662642).

The spelling of 2412420500 in words is "two billion, four hundred twelve million, four hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 125 133 140 175 190 250 266 350 380 475 500 532 665 700 875 950 1330 1750 1900 2375 2660 3325 3500 4750 6650 9500 13300 16625 33250 36277 66500 72554 145108 181385 253939 362770 507878 689263 725540 906925 1015756 1269695 1378526 1813850 2539390 2757052 3446315 3627700 4534625 4824841 5078780 6348475 6892630 9069250 9649682 12696950 13785260 17231575 18138500 19299364 24124205 25393900 31742375 34463150 48248410 63484750 68926300 86157875 96496820 120621025 126969500 172315750 241242050 344631500 482484100 603105125 1206210250 2412420500