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424920540 = 2235112107547
BaseRepresentation
bin11001010100111…
…100010111011100
31002121120012101210
4121110330113130
51332234424130
6110055304420
713346523252
oct3124742734
91077505353
10424920540
111a8947100
12ba37b110
136a058595
14406105d2
15274875b0
hex1953c5dc

424920540 has 144 divisors (see below), whose sum is σ = 1322407296. Its totient is φ = 101861760.

The previous prime is 424920533. The next prime is 424920547. The reversal of 424920540 is 45029424.

It is an interprime number because it is at equal distance from previous prime (424920533) and next prime (424920547).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 424920498 and 424920507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424920547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776547 + ... + 777093.

It is an arithmetic number, because the mean of its divisors is an integer number (9183384).

Almost surely, 2424920540 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 424920540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661203648).

424920540 is an abundant number, since it is smaller than the sum of its proper divisors (897486756).

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

424920540 is a wasteful number, since it uses less digits than its factorization.

424920540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 424920540 is about 20613.6008499243. The cubic root of 424920540 is about 751.8004388790.

Adding to 424920540 its reverse (45029424), we get a palindrome (469949964).

The spelling of 424920540 in words is "four hundred twenty-four million, nine hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 107 110 121 132 165 214 220 242 321 330 363 428 484 535 547 605 642 660 726 1070 1094 1177 1210 1284 1452 1605 1641 1815 2140 2188 2354 2420 2735 3210 3282 3531 3630 4708 5470 5885 6017 6420 6564 7062 7260 8205 10940 11770 12034 12947 14124 16410 17655 18051 23540 24068 25894 30085 32820 35310 36102 38841 51788 58529 60170 64735 66187 70620 72204 77682 90255 117058 120340 129470 132374 155364 175587 180510 194205 198561 234116 258940 264748 292645 330935 351174 361020 388410 397122 585290 643819 661870 702348 776820 794244 877935 992805 1170580 1287638 1323740 1755870 1931457 1985610 2575276 3219095 3511740 3862914 3971220 6438190 7082009 7725828 9657285 12876380 14164018 19314570 21246027 28328036 35410045 38629140 42492054 70820090 84984108 106230135 141640180 212460270 424920540