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30148965 = 32572112113
BaseRepresentation
bin111001100000…
…0100101100101
32002201201121100
41303000211211
530204231330
62554110313
7514155600
oct163004545
962651540
1030148965
1116022400
12a11b399
136327a32
14400b337
1529a8060
hex1cc0965

30148965 has 108 divisors (see below), whose sum is σ = 67410252. Its totient is φ = 12418560.

The previous prime is 30148933. The next prime is 30148967. The reversal of 30148965 is 56984103.

It can be written as a sum of positive squares in 2 ways, for example, as 4322241 + 25826724 = 2079^2 + 5082^2 .

It is not a de Polignac number, because 30148965 - 25 = 30148933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30148967) 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 107 ways as a sum of consecutive naturals, for example, 266749 + ... + 266861.

It is an arithmetic number, because the mean of its divisors is an integer number (624169).

Almost surely, 230148965 is an apocalyptic number.

30148965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30148965 is an abundant number, since it is smaller than the sum of its proper divisors (37261287).

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

30148965 is a wasteful number, since it uses less digits than its factorization.

30148965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 30148965 is about 5490.8073176902. The cubic root of 30148965 is about 311.2367004527.

It can be divided in two parts, 30148 and 965, that added together give a palindrome (31113).

The spelling of 30148965 in words is "thirty million, one hundred forty-eight thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 113 121 147 165 231 245 315 339 363 385 441 495 539 565 605 693 735 791 847 1017 1089 1155 1243 1617 1695 1815 2205 2373 2541 2695 3465 3729 3955 4235 4851 5085 5445 5537 5929 6215 7119 7623 8085 8701 11187 11865 12705 13673 16611 17787 18645 24255 26103 27685 29645 35595 38115 41019 43505 49833 53361 55935 60907 68365 78309 83055 88935 95711 123057 130515 182721 205095 249165 266805 287133 304535 391545 478555 548163 615285 669977 861399 913605 1435665 2009931 2740815 3349885 4306995 6029793 10049655 30148965