Search a number
-
+
30016680 = 2335318069
BaseRepresentation
bin111001010000…
…0010010101000
32002111000010220
41302200102220
530141013210
62551210040
7513065121
oct162402250
962430126
1030016680
1115a41a81
12a076920
1362ac765
143db5048
15297dc70
hex1ca04a8

30016680 has 64 divisors (see below), whose sum is σ = 92966400. Its totient is φ = 7745280.

The previous prime is 30016669. The next prime is 30016681. The reversal of 30016680 is 8661003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30016680.

It is not an unprimeable number, because it can be changed into a prime (30016681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315 + ... + 7754.

It is an arithmetic number, because the mean of its divisors is an integer number (1452600).

Almost surely, 230016680 is an apocalyptic number.

30016680 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 30016680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46483200).

30016680 is an abundant number, since it is smaller than the sum of its proper divisors (62949720).

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

30016680 is a wasteful number, since it uses less digits than its factorization.

30016680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8114 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 30016680 is about 5478.7480321694. The cubic root of 30016680 is about 310.7808273016.

Adding to 30016680 its reverse (8661003), we get a palindrome (38677683).

The spelling of 30016680 in words is "thirty million, sixteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 8069 16138 24207 32276 40345 48414 64552 80690 96828 121035 161380 193656 242070 250139 322760 484140 500278 750417 968280 1000556 1250695 1500834 2001112 2501390 3001668 3752085 5002780 6003336 7504170 10005560 15008340 30016680