Search a number
-
+
30092816 = 2413231359
BaseRepresentation
bin111001011001…
…0111000010000
32002121212120202
41302302320100
530200432231
62552554332
7513533105
oct162627020
962555522
1030092816
1115a941a6
12a0b29a8
136308300
143dd4aac
1529965cb
hex1cb2e10

30092816 has 60 divisors (see below), whose sum is σ = 65352960. Its totient is φ = 13403520.

The previous prime is 30092813. The next prime is 30092833. The reversal of 30092816 is 61829003.

It is not an unprimeable number, because it can be changed into a prime (30092813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83645 + ... + 84003.

It is an arithmetic number, because the mean of its divisors is an integer number (1089216).

Almost surely, 230092816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30092816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32676480).

30092816 is an abundant number, since it is smaller than the sum of its proper divisors (35260144).

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

30092816 is a wasteful number, since it uses less digits than its factorization.

30092816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 30092816 is about 5485.6919344783. The cubic root of 30092816 is about 311.0433661263.

The spelling of 30092816 in words is "thirty million, ninety-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 169 208 248 338 359 403 496 676 718 806 1352 1436 1612 2704 2872 3224 4667 5239 5744 6448 9334 10478 11129 18668 20956 22258 37336 41912 44516 60671 74672 83824 89032 121342 144677 178064 242684 289354 485368 578708 970736 1157416 1880801 2314832 3761602 7523204 15046408 30092816