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63720 = 2333559
BaseRepresentation
bin1111100011101000
310020102000
433203220
54014340
61211000
7353526
oct174350
9106360
1063720
1143968
1230a60
1323007
1419316
1513d30
hexf8e8

63720 has 64 divisors (see below), whose sum is σ = 216000. Its totient is φ = 16704.

The previous prime is 63719. The next prime is 63727. The reversal of 63720 is 2736.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 63693 and 63702.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 63720.

It is not an unprimeable number, because it can be changed into a prime (63727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1051 + ... + 1109.

It is an arithmetic number, because the mean of its divisors is an integer number (3375).

263720 is an apocalyptic number.

63720 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 63720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000).

63720 is an abundant number, since it is smaller than the sum of its proper divisors (152280).

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

63720 is a wasteful number, since it uses less digits than its factorization.

63720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 63720 is about 252.4282076156. The cubic root of 63720 is about 39.9415813899.

The spelling of 63720 in words is "sixty-three thousand, seven hundred twenty".