Search a number
-
+
66503430 = 2345737317
BaseRepresentation
bin1111110110110…
…0001100000110
311122010201120000
43331230030012
5114011102210
610333222130
71435161360
oct375541406
9148121500
1066503430
11345a3014
121a331946
1310a16156
148b91d30
155c89ac0
hex3f6c306

66503430 has 160 divisors (see below), whose sum is σ = 210551616. Its totient is φ = 14743296.

The previous prime is 66503429. The next prime is 66503461. The reversal of 66503430 is 3430566.

66503430 is a `hidden beast` number, since 6 + 650 + 3 + 4 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 66503394 and 66503403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 209632 + ... + 209948.

Almost surely, 266503430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66503430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105275808).

66503430 is an abundant number, since it is smaller than the sum of its proper divisors (144048186).

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

66503430 is a wasteful number, since it uses less digits than its factorization.

66503430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 66503430 is about 8154.9635192317. The cubic root of 66503430 is about 405.1489164309.

66503430 divided by its sum of digits (27) gives a triangular number (2463090 = T2219).

Adding to 66503430 its reverse (3430566), we get a palindrome (69933996).

The spelling of 66503430 in words is "sixty-six million, five hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 37 42 45 54 63 70 74 81 90 105 111 126 135 162 185 189 210 222 259 270 315 317 333 370 378 405 518 555 567 630 634 666 777 810 945 951 999 1110 1134 1295 1554 1585 1665 1890 1902 1998 2219 2331 2590 2835 2853 2997 3170 3330 3885 4438 4662 4755 4995 5670 5706 5994 6657 6993 7770 8559 9510 9990 11095 11655 11729 13314 13986 14265 14985 17118 19971 20979 22190 23310 23458 25677 28530 29970 33285 34965 35187 39942 41958 42795 51354 58645 59913 66570 69930 70374 82103 85590 99855 104895 105561 117290 119826 128385 164206 175935 179739 199710 209790 211122 246309 256770 299565 316683 351870 359478 410515 492618 527805 599130 633366 738927 821030 898695 950049 1055610 1231545 1477854 1583415 1797390 1900098 2216781 2463090 3166830 3694635 4433562 4750245 6650343 7389270 9500490 11083905 13300686 22167810 33251715 66503430