Search a number
-
+
30116310 = 2357612351
BaseRepresentation
bin111001011100…
…0100111010110
32002200001210220
41302320213112
530202210220
62553255210
7513661440
oct162704726
962601726
1030116310
1115aaa914
12a104506
136315c03
143ddd490
15299d540
hex1cb89d6

30116310 has 64 divisors (see below), whose sum is σ = 83994624. Its totient is φ = 6768000.

The previous prime is 30116309. The next prime is 30116321. The reversal of 30116310 is 1361103.

It is a super-2 number, since 2×301163102 = 1813984256032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30116310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11635 + ... + 13985.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 230116310 is an apocalyptic number.

30116310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30116310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41997312).

30116310 is an abundant number, since it is smaller than the sum of its proper divisors (53878314).

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

30116310 is a wasteful number, since it uses less digits than its factorization.

30116310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 30116310 is about 5487.8329056195. The cubic root of 30116310 is about 311.1242907776.

Adding to 30116310 its reverse (1361103), we get a palindrome (31477413).

The spelling of 30116310 in words is "thirty million, one hundred sixteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 105 122 183 210 305 366 427 610 854 915 1281 1830 2135 2351 2562 4270 4702 6405 7053 11755 12810 14106 16457 23510 32914 35265 49371 70530 82285 98742 143411 164570 246855 286822 430233 493710 717055 860466 1003877 1434110 2007754 2151165 3011631 4302330 5019385 6023262 10038770 15058155 30116310