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424137060 = 22355197443
BaseRepresentation
bin11001010001111…
…101000101100100
31002120002101200000
4121101331011210
51332034341220
6110030421300
713340051124
oct3121750544
91076071600
10424137060
111a84614a6
12ba061830
1369b42a99
1440488c84
1527380390
hex1947d164

424137060 has 144 divisors (see below), whose sum is σ = 1343998656. Its totient is φ = 112275072.

The previous prime is 424137047. The next prime is 424137073. The reversal of 424137060 is 60731424.

It is an interprime number because it is at equal distance from previous prime (424137047) and next prime (424137073).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957199 + ... + 957641.

It is an arithmetic number, because the mean of its divisors is an integer number (9333324).

Almost surely, 2424137060 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 424137060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671999328).

424137060 is an abundant number, since it is smaller than the sum of its proper divisors (919861596).

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

424137060 is a wasteful number, since it uses less digits than its factorization.

424137060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 424137060 is about 20594.5881240679. The cubic root of 424137060 is about 751.3380912626.

Adding to 424137060 its reverse (60731424), we get a palindrome (484868484).

The spelling of 424137060 in words is "four hundred twenty-four million, one hundred thirty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 197 243 270 324 394 405 443 486 540 591 788 810 886 972 985 1182 1215 1329 1620 1772 1773 1970 2215 2364 2430 2658 2955 3546 3940 3987 4430 4860 5316 5319 5910 6645 7092 7974 8860 8865 10638 11820 11961 13290 15948 15957 17730 19935 21276 23922 26580 26595 31914 35460 35883 39870 47844 47871 53190 59805 63828 71766 79740 79785 87271 95742 106380 107649 119610 143532 159570 174542 179415 191484 215298 239220 239355 261813 319140 349084 358830 430596 436355 478710 523626 538245 717660 785439 872710 957420 1047252 1076490 1309065 1570878 1745420 2152980 2356317 2618130 3141756 3927195 4712634 5236260 7068951 7854390 9425268 11781585 14137902 15708780 21206853 23563170 28275804 35344755 42413706 47126340 70689510 84827412 106034265 141379020 212068530 424137060