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30180276 = 2234721901
BaseRepresentation
bin111001100100…
…0001110110100
32002210022120000
41303020032310
530211232101
62554511300
7514346100
oct163101664
962708500
1030180276
1116043985
12a135530
136339069
144018900
1529b2486
hex1cc83b4

30180276 has 90 divisors (see below), whose sum is σ = 91826658. Its totient is φ = 8618400.

The previous prime is 30180259. The next prime is 30180277. The reversal of 30180276 is 67208103.

It can be written as a sum of positive squares in only one way, i.e., 19448100 + 10732176 = 4410^2 + 3276^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30180277) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14926 + ... + 16826.

Almost surely, 230180276 is an apocalyptic number.

30180276 is a gapful number since it is divisible by the number (36) 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 30180276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45913329).

30180276 is an abundant number, since it is smaller than the sum of its proper divisors (61646382).

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

30180276 is a wasteful number, since it uses less digits than its factorization.

30180276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 30180276 is about 5493.6577978611. The cubic root of 30180276 is about 311.3444074192.

Adding to 30180276 its reverse (67208103), we get a palindrome (97388379).

The spelling of 30180276 in words is "thirty million, one hundred eighty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 1901 2268 2646 3802 3969 5292 5703 7604 7938 11406 13307 15876 17109 22812 26614 34218 39921 51327 53228 68436 79842 93149 102654 119763 153981 159684 186298 205308 239526 279447 307962 359289 372596 479052 558894 615924 718578 838341 1077867 1117788 1437156 1676682 2155734 2515023 3353364 4311468 5030046 7545069 10060092 15090138 30180276