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196608000 = 219353
BaseRepresentation
bin10111011100000…
…00000000000000
3111200221201110210
423232000000000
5400312424000
631301554120
74605066111
oct1356000000
9450851423
10196608000
11a0a86556
1255a15940
133196a3c4
141c17c208
15123d9350
hexbb80000

196608000 has 160 divisors (see below), whose sum is σ = 654310800. Its totient is φ = 52428800.

The previous prime is 196607989. The next prime is 196608007. The reversal of 196608000 is 806691.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196608007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39321598 + ... + 39321602.

Almost surely, 2196608000 is an apocalyptic number.

196608000 is a gapful number since it is divisible by the number (10) 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 196608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327155400).

196608000 is an abundant number, since it is smaller than the sum of its proper divisors (457702800).

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

196608000 is an frugal number, since it uses more digits than its factorization.

196608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 196608000 is about 14021.6974721323. The cubic root of 196608000 is about 581.4785897063.

Multiplying 196608000 by its sum of digits (30), we get a square (5898240000 = 768002).

196608000 divided by its sum of digits (30) gives a square (6553600 = 25602).

The spelling of 196608000 in words is "one hundred ninety-six million, six hundred eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 750 768 800 960 1000 1024 1200 1280 1500 1536 1600 1920 2000 2048 2400 2560 3000 3072 3200 3840 4000 4096 4800 5120 6000 6144 6400 7680 8000 8192 9600 10240 12000 12288 12800 15360 16000 16384 19200 20480 24000 24576 25600 30720 32000 32768 38400 40960 48000 49152 51200 61440 64000 65536 76800 81920 96000 98304 102400 122880 128000 131072 153600 163840 192000 196608 204800 245760 256000 262144 307200 327680 384000 393216 409600 491520 512000 524288 614400 655360 768000 786432 819200 983040 1024000 1228800 1310720 1536000 1572864 1638400 1966080 2048000 2457600 2621440 3072000 3276800 3932160 4096000 4915200 6144000 6553600 7864320 8192000 9830400 12288000 13107200 16384000 19660800 24576000 32768000 39321600 49152000 65536000 98304000 196608000