Search a number
-
+
30606660 = 2234572699
BaseRepresentation
bin111010011000…
…0010101000100
32010120222110000
41310300111010
530313403120
63012001300
7521103150
oct164602504
963528400
1030606660
1116305267
12a300230
136458166
1440ca060
152a48990
hex1d30544

30606660 has 120 divisors (see below), whose sum is σ = 109771200. Its totient is φ = 6993216.

The previous prime is 30606617. The next prime is 30606683. The reversal of 30606660 is 6660603.

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 39 ways as a sum of consecutive naturals, for example, 9991 + ... + 12689.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 230606660 is an apocalyptic number.

30606660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30606660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885600).

30606660 is an abundant number, since it is smaller than the sum of its proper divisors (79164540).

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

30606660 is a wasteful number, since it uses less digits than its factorization.

30606660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 30606660 is about 5532.3286236448. The cubic root of 30606660 is about 312.8037707523.

The spelling of 30606660 in words is "thirty million, six hundred six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2699 2835 3780 5398 5670 8097 10796 11340 13495 16194 18893 24291 26990 32388 37786 40485 48582 53980 56679 72873 75572 80970 94465 97164 113358 121455 145746 161940 170037 188930 218619 226716 242910 283395 291492 340074 364365 377860 437238 485820 510111 566790 680148 728730 850185 874476 1020222 1093095 1133580 1457460 1530333 1700370 2040444 2186190 2550555 3060666 3400740 4372380 5101110 6121332 7651665 10202220 15303330 30606660