[go: up one dir, main page]

Search a number
-
+
655776 = 25341123
BaseRepresentation
bin10100000000110100000
31020022120000
42200012200
5131441101
622020000
75400612
oct2400640
91208500
10655776
11408770
12277600
1319c644
14130db2
15ce486
hexa01a0

655776 has 120 divisors (see below), whose sum is σ = 2195424. Its totient is φ = 190080.

The previous prime is 655757. The next prime is 655807. The reversal of 655776 is 677556.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 655776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28501 + ... + 28523.

2655776 is an apocalyptic number.

655776 is a gapful number since it is divisible by the number (66) 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 655776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097712).

655776 is an abundant number, since it is smaller than the sum of its proper divisors (1539648).

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

655776 is a wasteful number, since it uses less digits than its factorization.

655776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 39 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 655776 is about 809.7999753025. The cubic root of 655776 is about 86.8797387129.

It can be divided in two parts, 655 and 776, that added together give a triangular number (1431 = T53).

The spelling of 655776 in words is "six hundred fifty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 32 33 36 44 46 48 54 66 69 72 81 88 92 96 99 108 132 138 144 162 176 184 198 207 216 253 264 276 288 297 324 352 368 396 414 432 506 528 552 594 621 648 736 759 792 828 864 891 1012 1056 1104 1188 1242 1296 1518 1584 1656 1782 1863 2024 2208 2277 2376 2484 2592 3036 3168 3312 3564 3726 4048 4554 4752 4968 6072 6624 6831 7128 7452 8096 9108 9504 9936 12144 13662 14256 14904 18216 19872 20493 24288 27324 28512 29808 36432 40986 54648 59616 72864 81972 109296 163944 218592 327888 655776