Search a number
-
+
63750 = 235417
BaseRepresentation
bin1111100100000110
310020110010
433210012
54020000
61211050
7353601
oct174406
9106403
1063750
1143995
1230a86
132302b
1419338
1513d50
hexf906

63750 has 40 divisors (see below), whose sum is σ = 168696. Its totient is φ = 16000.

The previous prime is 63743. The next prime is 63761. The reversal of 63750 is 5736.

63750 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

63750 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3742 + ... + 3758.

263750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84348).

63750 is an abundant number, since it is smaller than the sum of its proper divisors (104946).

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

63750 is a wasteful number, since it uses less digits than its factorization.

63750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 27 counting only the distinct ones).

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

The square root of 63750 is about 252.4876234591. The cubic root of 63750 is about 39.9478487023.

It can be divided in two parts, 6 and 3750, that multiplied together give a square (22500 = 1502).

The spelling of 63750 in words is "sixty-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 125 150 170 250 255 375 425 510 625 750 850 1250 1275 1875 2125 2550 3750 4250 6375 10625 12750 21250 31875 63750