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36376130 = 2572611217
BaseRepresentation
bin1000101011000…
…0111001000010
32112110002200002
42022300321002
533303014010
63335400002
7621122600
oct212607102
975402602
1036376130
1119595a1a
1210223002
1376c824b
144b8c870
1532d81a5
hex22b0e42

36376130 has 48 divisors (see below), whose sum is σ = 77479416. Its totient is φ = 12257280.

The previous prime is 36376129. The next prime is 36376139. The reversal of 36376130 is 3167363.

It can be written as a sum of positive squares in 4 ways, for example, as 15864289 + 20511841 = 3983^2 + 4529^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 36376093 and 36376102.

It is not an unprimeable number, because it can be changed into a prime (36376139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29282 + ... + 30498.

Almost surely, 236376130 is an apocalyptic number.

36376130 is an abundant number, since it is smaller than the sum of its proper divisors (41103286).

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

36376130 is a wasteful number, since it uses less digits than its factorization.

36376130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 29.

The square root of 36376130 is about 6031.2627201938. The cubic root of 36376130 is about 331.3387003473.

The spelling of 36376130 in words is "thirty-six million, three hundred seventy-six thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 61 70 98 122 245 305 427 490 610 854 1217 2135 2434 2989 4270 5978 6085 8519 12170 14945 17038 29890 42595 59633 74237 85190 119266 148474 298165 371185 519659 596330 742370 1039318 2598295 3637613 5196590 7275226 18188065 36376130