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196280100 = 2232524672
BaseRepresentation
bin10111011001011…
…11111100100100
3111200100001200100
423230233330210
5400221430400
631250544100
74602232122
oct1354577444
9450301610
10196280100
11a0882165
1255898030
1331884093
141c0d4912
1512372100
hexbb2ff24

196280100 has 81 divisors (see below), whose sum is σ = 616549297. Its totient is φ = 52229280.

The previous prime is 196280087. The next prime is 196280101. The reversal of 196280100 is 1082691.

The square root of 196280100 is 14010.

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

It can be written as a sum of positive squares in only one way, i.e., 70660836 + 125619264 = 8406^2 + 11208^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (196280101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 420067 + ... + 420533.

Almost surely, 2196280100 is an apocalyptic number.

196280100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

196280100 is the 14010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196280100

196280100 is an abundant number, since it is smaller than the sum of its proper divisors (420269197).

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

196280100 is a wasteful number, since it uses less digits than its factorization.

196280100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The cubic root of 196280100 is about 581.1551492817.

The spelling of 196280100 in words is "one hundred ninety-six million, two hundred eighty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 467 900 934 1401 1868 2335 2802 4203 4670 5604 7005 8406 9340 11675 14010 16812 21015 23350 28020 35025 42030 46700 70050 84060 105075 140100 210150 218089 420300 436178 654267 872356 1090445 1308534 1962801 2180890 2617068 3271335 3925602 4361780 5452225 6542670 7851204 9814005 10904450 13085340 16356675 19628010 21808900 32713350 39256020 49070025 65426700 98140050 196280100