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36750 = 235372
BaseRepresentation
bin1000111110001110
31212102010
420332032
52134000
6442050
7212100
oct107616
955363
1036750
112567a
1219326
131395c
14d570
15ad50
hex8f8e

36750 has 48 divisors (see below), whose sum is σ = 106704. Its totient is φ = 8400.

The previous prime is 36749. The next prime is 36761. The reversal of 36750 is 5763.

It can be divided in two parts, 36 and 750, that multiplied together give a cube (27000 = 303).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 11.

It is a congruent number.

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, 5247 + ... + 5253.

It is an arithmetic number, because the mean of its divisors is an integer number (2223).

236750 is an apocalyptic number.

36750 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 36750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53352).

36750 is an abundant number, since it is smaller than the sum of its proper divisors (69954).

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

36750 is a wasteful number, since it uses less digits than its factorization.

36750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 36750 is about 191.7028951268. The cubic root of 36750 is about 33.2469988058.

The spelling of 36750 in words is "thirty-six thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 125 147 150 175 210 245 250 294 350 375 490 525 735 750 875 1050 1225 1470 1750 2450 2625 3675 5250 6125 7350 12250 18375 36750