36141930 has 128 divisors (see below), whose sum is σ = 107965440. Its totient is φ = 8527680.

The previous prime is 36141929. The next prime is 36141943. The reversal of 36141930 is 3914163.

36141930 = T₄₆₉ + T₄₇₀ + ... + T₆₈₃.

36141930 is a `hidden beast` number, since 3 + 614 + 19 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36141894 and 36141903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127569 + ... + 127851.

It is an arithmetic number, because the mean of its divisors is an integer number (843480).

Almost surely, 2^36141930 is an apocalyptic number.

36141930 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 36141930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53982720).

36141930 is an abundant number, since it is smaller than the sum of its proper divisors (71823510).

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

36141930 is a wasteful number, since it uses less digits than its factorization.

36141930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 36141930 is about 6011.8158654437. The cubic root of 36141930 is about 330.6260841538.

The spelling of 36141930 in words is "thirty-six million, one hundred forty-one thousand, nine hundred thirty".