Search a number
-
+
655680 = 2635683
BaseRepresentation
bin10100000000101000000
31020022102110
42200011000
5131440210
622015320
75400414
oct2400500
91208373
10655680
11408693
12277540
1319c59c
14130d44
15ce420
hexa0140

655680 has 56 divisors (see below), whose sum is σ = 2084832. Its totient is φ = 174592.

The previous prime is 655657. The next prime is 655687. The reversal of 655680 is 86556.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655687) by changing a digit.

655680 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 7 ways as a sum of consecutive naturals, for example, 619 + ... + 1301.

2655680 is an apocalyptic number.

655680 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 655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042416).

655680 is an abundant number, since it is smaller than the sum of its proper divisors (1429152).

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

655680 is a wasteful number, since it uses less digits than its factorization.

655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 655680 is about 809.7406992365. The cubic root of 655680 is about 86.8754990224.

The spelling of 655680 in words is "six hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 683 960 1366 2049 2732 3415 4098 5464 6830 8196 10245 10928 13660 16392 20490 21856 27320 32784 40980 43712 54640 65568 81960 109280 131136 163920 218560 327840 655680