Search a number
-
+
63240 = 23351731
BaseRepresentation
bin1111011100001000
310012202020
433130020
54010430
61204440
7352242
oct173410
9105666
1063240
1143571
1230720
1322a28
1419092
1513b10
hexf708

63240 has 64 divisors (see below), whose sum is σ = 207360. Its totient is φ = 15360.

The previous prime is 63211. The next prime is 63241. The reversal of 63240 is 4236.

63240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (63241) by changing a digit.

63240 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 15 ways as a sum of consecutive naturals, for example, 2025 + ... + 2055.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

263240 is an apocalyptic number.

63240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

63240 is an abundant number, since it is smaller than the sum of its proper divisors (144120).

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

63240 is a wasteful number, since it uses less digits than its factorization.

63240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 63240 is about 251.4756449440. The cubic root of 63240 is about 39.8410357628.

Adding to 63240 its reverse (4236), we get a palindrome (67476).

It can be divided in two parts, 63 and 240, that added together give a palindrome (303).

The spelling of 63240 in words is "sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 31 34 40 51 60 62 68 85 93 102 120 124 136 155 170 186 204 248 255 310 340 372 408 465 510 527 620 680 744 930 1020 1054 1240 1581 1860 2040 2108 2635 3162 3720 4216 5270 6324 7905 10540 12648 15810 21080 31620 63240