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36000150 = 23521072243
BaseRepresentation
bin1000100101010…
…1000110010110
32111201222220220
42021111012112
533204001100
63323335210
7614665464
oct211250626
974658826
1036000150
111935949a
1210081506
1375c6084
144ad1834
153261aa0
hex2255196

36000150 has 48 divisors (see below), whose sum is σ = 90154944. Its totient is φ = 9506080.

The previous prime is 36000143. The next prime is 36000163. The reversal of 36000150 is 5100063.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14929 + ... + 17171.

It is an arithmetic number, because the mean of its divisors is an integer number (1878228).

Almost surely, 236000150 is an apocalyptic number.

36000150 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 36000150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45077472).

36000150 is an abundant number, since it is smaller than the sum of its proper divisors (54154794).

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

36000150 is a wasteful number, since it uses less digits than its factorization.

36000150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 36000150 is about 6000.0124999870. The cubic root of 36000150 is about 330.1931834898.

The spelling of 36000150 in words is "thirty-six million, one hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 25 30 50 75 107 150 214 321 535 642 1070 1605 2243 2675 3210 4486 5350 6729 8025 11215 13458 16050 22430 33645 56075 67290 112150 168225 240001 336450 480002 720003 1200005 1440006 2400010 3600015 6000025 7200030 12000050 18000075 36000150