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197796096 = 28322932
BaseRepresentation
bin10111100101000…
…10000100000000
3111210012002020100
423302202010000
5401113433341
631343242400
74621145001
oct1362420400
9453162210
10197796096
11a1718153
12562a9400
1331c95114
141c3ab1a8
15125713b6
hexbca2100

197796096 has 81 divisors (see below), whose sum is σ = 572247949. Its totient is φ = 65707008.

The previous prime is 197796091. The next prime is 197796101. The reversal of 197796096 is 690697791.

The square root of 197796096 is 14064.

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

It is an interprime number because it is at equal distance from previous prime (197796091) and next prime (197796101).

It can be written as a sum of positive squares in only one way, i.e., 187142400 + 10653696 = 13680^2 + 3264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (197796091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 674926 + ... + 675218.

Almost surely, 2197796096 is an apocalyptic number.

197796096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

197796096 is the 14064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197796096

197796096 is an abundant number, since it is smaller than the sum of its proper divisors (374451853).

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

197796096 is an frugal number, since it uses more digits than its factorization.

197796096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The cubic root of 197796096 is about 582.6475238966.

Multiplying 197796096 by its product of nonzero digits (1285956), we get a square (254357076427776 = 159485762).

The spelling of 197796096 in words is "one hundred ninety-seven million, seven hundred ninety-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 293 384 576 586 768 879 1152 1172 1758 2304 2344 2637 3516 4688 5274 7032 9376 10548 14064 18752 21096 28128 37504 42192 56256 75008 84384 85849 112512 168768 171698 225024 257547 337536 343396 515094 675072 686792 772641 1030188 1373584 1545282 2060376 2747168 3090564 4120752 5494336 6181128 8241504 10988672 12362256 16483008 21977344 24724512 32966016 49449024 65932032 98898048 197796096