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424100020 = 225172694637
BaseRepresentation
bin11001010001110…
…100000010110100
31002120000111212011
4121101310002310
51332032200040
6110025534004
713336535131
oct3121640264
91076014764
10424100020
111a8436693
12ba044304
1369b2bc76
1440479588
15273743ea
hex194740b4

424100020 has 48 divisors (see below), whose sum is σ = 946708560. Its totient is φ = 159033344.

The previous prime is 424099987. The next prime is 424100021. The reversal of 424100020 is 20001424.

It can be written as a sum of positive squares in 8 ways, for example, as 41036836 + 383063184 = 6406^2 + 19572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424100021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89142 + ... + 93778.

It is an arithmetic number, because the mean of its divisors is an integer number (19723095).

Almost surely, 2424100020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473354280).

424100020 is an abundant number, since it is smaller than the sum of its proper divisors (522608540).

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

424100020 is a wasteful number, since it uses less digits than its factorization.

424100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 424100020 is about 20593.6888390594. The cubic root of 424100020 is about 751.3162191088.

Adding to 424100020 its reverse (20001424), we get a palindrome (444101444).

The spelling of 424100020 in words is "four hundred twenty-four million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 269 340 538 1076 1345 2690 4573 4637 5380 9146 9274 18292 18548 22865 23185 45730 46370 78829 91460 92740 157658 315316 394145 788290 1247353 1576580 2494706 4989412 6236765 12473530 21205001 24947060 42410002 84820004 106025005 212050010 424100020