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505400130 = 232531792293
BaseRepresentation
bin11110000111111…
…100101101000010
31022012222222122100
4132013330231002
52013340301010
6122052251230
715344554524
oct3607745502
91265888570
10505400130
1123a315664
12121310b16
1380926041
144b19da14
152e5832c0
hex1e1fcb42

505400130 has 96 divisors (see below), whose sum is σ = 1374197760. Its totient is φ = 128718720.

The previous prime is 505400111. The next prime is 505400141. The reversal of 505400130 is 31004505.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 219264 + ... + 221556.

It is an arithmetic number, because the mean of its divisors is an integer number (14314560).

Almost surely, 2505400130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505400130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687098880).

505400130 is an abundant number, since it is smaller than the sum of its proper divisors (868797630).

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

505400130 is a wasteful number, since it uses less digits than its factorization.

505400130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 505400130 is about 22481.1060670955. The cubic root of 505400130 is about 796.5476910926.

Adding to 505400130 its reverse (31004505), we get a palindrome (536404635).

The spelling of 505400130 in words is "five hundred five million, four hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 79 90 93 155 158 186 237 279 310 395 465 474 558 711 790 930 1185 1395 1422 2293 2370 2449 2790 3555 4586 4898 6879 7110 7347 11465 12245 13758 14694 20637 22041 22930 24490 34395 36735 41274 44082 68790 71083 73470 103185 110205 142166 181147 206370 213249 220410 355415 362294 426498 543441 639747 710830 905735 1066245 1086882 1279494 1630323 1811470 2132490 2717205 3198735 3260646 5434410 5615557 6397470 8151615 11231114 16303230 16846671 28077785 33693342 50540013 56155570 84233355 101080026 168466710 252700065 505400130