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196743168 = 21234593
BaseRepresentation
bin10111011101000…
…01000000000000
3111201012120220000
423232201000000
5400331240133
631304520000
74606201146
oct1356410000
9451176800
10196743168
11a1069066
1255a80000
13319b6a9b
141c1b5596
1512414413
hexbba1000

196743168 has 130 divisors (see below), whose sum is σ = 588719934. Its totient is φ = 65470464.

The previous prime is 196743167. The next prime is 196743191. The reversal of 196743168 is 861347691.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 175509504 + 21233664 = 13248^2 + 4608^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (196743161) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331480 + ... + 332072.

Almost surely, 2196743168 is an apocalyptic number.

196743168 is a gapful number since it is divisible by the number (18) 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 196743168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294359967).

196743168 is an abundant number, since it is smaller than the sum of its proper divisors (391976766).

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

196743168 is an frugal number, since it uses more digits than its factorization.

196743168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 598 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 196743168 is about 14026.5166024926. The cubic root of 196743168 is about 581.6118146904.

The spelling of 196743168 in words is "one hundred ninety-six million, seven hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 593 648 768 864 1024 1152 1186 1296 1536 1728 1779 2048 2304 2372 2592 3072 3456 3558 4096 4608 4744 5184 5337 6144 6912 7116 9216 9488 10368 10674 12288 13824 14232 16011 18432 18976 20736 21348 27648 28464 32022 36864 37952 41472 42696 48033 55296 56928 64044 75904 82944 85392 96066 110592 113856 128088 151808 165888 170784 192132 227712 256176 303616 331776 341568 384264 455424 512352 607232 683136 768528 910848 1024704 1214464 1366272 1537056 1821696 2049408 2428928 2732544 3074112 3643392 4098816 5465088 6148224 7286784 8197632 10930176 12296448 16395264 21860352 24592896 32790528 49185792 65581056 98371584 196743168