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655360000 = 22054
BaseRepresentation
bin100111000100000…
…000000000000000
31200200011201220121
4213010000000000
52320233010000
6145010350024
722145316361
oct4704000000
91620151817
10655360000
11306a2a739
1216358b314
13a5a0c8a9
1463077b68
153c805b1a
hex27100000

655360000 has 105 divisors (see below), whose sum is σ = 1637874931. Its totient is φ = 262144000.

The previous prime is 655359983. The next prime is 655360001. The reversal of 655360000 is 63556.

The square root of 655360000 is 25600.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 51380224 + 603979776 = 7168^2 + 24576^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (655360001) by changing a digit.

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 4 ways as a sum of consecutive naturals, for example, 131071998 + ... + 131072002.

Almost surely, 2655360000 is an apocalyptic number.

655360000 is the 25600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 655360000

655360000 is an abundant number, since it is smaller than the sum of its proper divisors (982514931).

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

655360000 is an frugal number, since it uses more digits than its factorization.

655360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The cubic root of 655360000 is about 868.6136373104.

Multiplying 655360000 by its sum of digits (25), we get a square (16384000000 = 1280002).

655360000 divided by its sum of digits (25) gives a square (26214400 = 51202).

The spelling of 655360000 in words is "six hundred fifty-five million, three hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3200 4000 4096 5000 5120 6400 8000 8192 10000 10240 12800 16000 16384 20000 20480 25600 32000 32768 40000 40960 51200 64000 65536 80000 81920 102400 128000 131072 160000 163840 204800 256000 262144 320000 327680 409600 512000 524288 640000 655360 819200 1024000 1048576 1280000 1310720 1638400 2048000 2560000 2621440 3276800 4096000 5120000 5242880 6553600 8192000 10240000 13107200 16384000 20480000 26214400 32768000 40960000 65536000 81920000 131072000 163840000 327680000 655360000