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36381330 = 23251492713
BaseRepresentation
bin1000101011001…
…0001010010010
32112110100210200
42022302022102
533303200310
63335440030
7621144006
oct212621222
975410720
1036381330
1119599917
1210226016
1376ca71b
144b90706
1532d99c0
hex22b2292

36381330 has 48 divisors (see below), whose sum is σ = 95261400. Its totient is φ = 9633024.

The previous prime is 36381299. The next prime is 36381349. The reversal of 36381330 is 3318363.

It can be written as a sum of positive squares in 4 ways, for example, as 32182929 + 4198401 = 5673^2 + 2049^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36381294 and 36381303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12054 + ... + 14766.

Almost surely, 236381330 is an apocalyptic number.

36381330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36381330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47630700).

36381330 is an abundant number, since it is smaller than the sum of its proper divisors (58880070).

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

36381330 is a wasteful number, since it uses less digits than its factorization.

36381330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36381330 is about 6031.6937919626. The cubic root of 36381330 is about 331.3544879819.

Adding to 36381330 its reverse (3318363), we get a palindrome (39699693).

The spelling of 36381330 in words is "thirty-six million, three hundred eighty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 2713 4470 5426 6705 8139 13410 13565 16278 24417 27130 40695 48834 81390 122085 244170 404237 808474 1212711 2021185 2425422 3638133 4042370 6063555 7276266 12127110 18190665 36381330