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424126140 = 223541533253
BaseRepresentation
bin11001010001111…
…010011010111100
31002120001211200120
4121101322122330
51332034014030
6110030254540
713340004234
oct3121723274
91076054616
10424126140
111a8454279
12ba057450
1369b3ab19
1440484cc4
152737c010
hex1947a6bc

424126140 has 96 divisors (see below), whose sum is σ = 1239852096. Its totient is φ = 108226560.

The previous prime is 424126139. The next prime is 424126201. The reversal of 424126140 is 41621424.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 424126140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128754 + ... + 132006.

It is an arithmetic number, because the mean of its divisors is an integer number (12915126).

Almost surely, 2424126140 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 424126140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619926048).

424126140 is an abundant number, since it is smaller than the sum of its proper divisors (815725956).

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

424126140 is a wasteful number, since it uses less digits than its factorization.

424126140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 424126140 is about 20594.3230041679. The cubic root of 424126140 is about 751.3316431250.

Adding to 424126140 its reverse (41621424), we get a palindrome (465747564).

It can be divided in two parts, 4241 and 26140, that added together give a triangular number (30381 = T246).

The spelling of 424126140 in words is "four hundred twenty-four million, one hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 53 60 82 106 123 159 164 205 212 246 265 318 410 492 530 615 636 795 820 1060 1230 1590 2173 2460 3180 3253 4346 6506 6519 8692 9759 10865 13012 13038 16265 19518 21730 26076 32530 32595 39036 43460 48795 65060 65190 97590 130380 133373 172409 195180 266746 344818 400119 517227 533492 666865 689636 800238 862045 1034454 1333730 1600476 1724090 2000595 2068908 2586135 2667460 3448180 4001190 5172270 7068769 8002380 10344540 14137538 21206307 28275076 35343845 42412614 70687690 84825228 106031535 141375380 212063070 424126140