Search a number
-
+
2412124300 = 2252294120287
BaseRepresentation
bin1000111111000110…
…0001100010001100
320020002211121111001
42033301201202030
514420000434200
61035204110044
7113526501235
oct21761414214
96202747431
102412124300
111028643763
12573995324
132c59723b1
1418c4d808c
15e1b6d76a
hex8fc6188c

2412124300 has 72 divisors (see below), whose sum is σ = 5547144960. Its totient is φ = 908812800.

The previous prime is 2412124289. The next prime is 2412124303. The reversal of 2412124300 is 34212142.

It is not an unprimeable number, because it can be changed into a prime (2412124303) 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, 108757 + ... + 129043.

It is an arithmetic number, because the mean of its divisors is an integer number (77043680).

Almost surely, 22412124300 is an apocalyptic number.

2412124300 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 2412124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773572480).

2412124300 is an abundant number, since it is smaller than the sum of its proper divisors (3135020660).

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

2412124300 is a wasteful number, since it uses less digits than its factorization.

2412124300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20371 (or 20364 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2412124300 is about 49113.3820867592. The cubic root of 2412124300 is about 1341.1166714650.

Adding to 2412124300 its reverse (34212142), we get a palindrome (2446336442).

It can be divided in two parts, 24 and 12124300, that added together give a square (12124324 = 34822).

The spelling of 2412124300 in words is "two billion, four hundred twelve million, one hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 41 50 58 82 100 116 145 164 205 290 410 580 725 820 1025 1189 1450 2050 2378 2900 4100 4756 5945 11890 20287 23780 29725 40574 59450 81148 101435 118900 202870 405740 507175 588323 831767 1014350 1176646 1663534 2028700 2353292 2941615 3327068 4158835 5883230 8317670 11766460 14708075 16635340 20794175 24121243 29416150 41588350 48242486 58832300 83176700 96484972 120606215 241212430 482424860 603031075 1206062150 2412124300