[go: up one dir, main page]

Search a number
-
+
30628611 = 3413172959
BaseRepresentation
bin111010011010…
…1101100000011
32010122002120000
41310311230003
530320103421
63012251043
7521224146
oct164655403
963562500
1030628611
111631a802
12a310a83
136465150
1440d405d
152a50226
hex1d35b03

30628611 has 80 divisors (see below), whose sum is σ = 54885600. Its totient is φ = 16837632.

The previous prime is 30628607. The next prime is 30628657. The reversal of 30628611 is 11682603.

30628611 is a `hidden beast` number, since 30 + 628 + 6 + 1 + 1 = 666.

It is not a de Polignac number, because 30628611 - 22 = 30628607 is a prime.

It is a super-2 number, since 2×306286112 = 1876223623578642, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30628601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 519100 + ... + 519158.

It is an arithmetic number, because the mean of its divisors is an integer number (686070).

Almost surely, 230628611 is an apocalyptic number.

30628611 is a deficient number, since it is larger than the sum of its proper divisors (24256989).

30628611 is a wasteful number, since it uses less digits than its factorization.

30628611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30628611 is about 5534.3121523817. The cubic root of 30628611 is about 312.8785335078.

The spelling of 30628611 in words is "thirty million, six hundred twenty-eight thousand, six hundred eleven".

Divisors: 1 3 9 13 17 27 29 39 51 59 81 87 117 153 177 221 261 351 377 459 493 531 663 767 783 1003 1053 1131 1377 1479 1593 1711 1989 2301 2349 3009 3393 4437 4779 5133 5967 6409 6903 9027 10179 13039 13311 15399 17901 19227 20709 22243 27081 29087 30537 39117 39933 46197 57681 62127 66729 81243 87261 117351 138591 173043 200187 261783 352053 378131 519129 600561 785349 1056159 1134393 1801683 2356047 3403179 10209537 30628611