Search a number
-
+
30662580 = 223513192069
BaseRepresentation
bin111010011110…
…1111110110100
32010200211011010
41310331332310
530322200310
63013112220
7521425164
oct164757664
963624133
1030662580
1116343283
12a328670
136477750
1441025a4
152a5a320
hex1d3dfb4

30662580 has 96 divisors (see below), whose sum is σ = 97372800. Its totient is φ = 7147008.

The previous prime is 30662563. The next prime is 30662581. The reversal of 30662580 is 8526603.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30662581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13786 + ... + 15854.

It is an arithmetic number, because the mean of its divisors is an integer number (1014300).

Almost surely, 230662580 is an apocalyptic number.

30662580 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 30662580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48686400).

30662580 is an abundant number, since it is smaller than the sum of its proper divisors (66710220).

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

30662580 is a wasteful number, since it uses less digits than its factorization.

30662580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 30662580 is about 5537.3802470121. The cubic root of 30662580 is about 312.9941579069.

The spelling of 30662580 in words is "thirty million, six hundred sixty-two thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2069 2470 2964 3705 4138 4940 6207 7410 8276 10345 12414 14820 20690 24828 26897 31035 39311 41380 53794 62070 78622 80691 107588 117933 124140 134485 157244 161382 196555 235866 268970 322764 393110 403455 471732 511043 537940 589665 786220 806910 1022086 1179330 1533129 1613820 2044172 2358660 2555215 3066258 5110430 6132516 7665645 10220860 15331290 30662580