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196319700 = 2236522693
BaseRepresentation
bin10111011001110…
…01100111010100
3111200102002000000
423230321213110
5400224212300
631251451300
74602455433
oct1354714724
9450362000
10196319700
11a08a9995
12558b6b30
1331899105
141c10511a
151237dc00
hexbb399d4

196319700 has 126 divisors (see below), whose sum is σ = 638965614. Its totient is φ = 52332480.

The previous prime is 196319699. The next prime is 196319701. The reversal of 196319700 is 7913691.

196319700 is a `hidden beast` number, since 19 + 631 + 9 + 7 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (196319699) and next prime (196319701).

It can be written as a sum of positive squares in 3 ways, for example, as 8191044 + 188128656 = 2862^2 + 13716^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196319701) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 71554 + ... + 74246.

Almost surely, 2196319700 is an apocalyptic number.

196319700 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 196319700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319482807).

196319700 is an abundant number, since it is smaller than the sum of its proper divisors (442645914).

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

196319700 is a wasteful number, since it uses less digits than its factorization.

196319700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 196319700 is about 14011.4132049555. The cubic root of 196319700 is about 581.1942298208.

The spelling of 196319700 in words is "one hundred ninety-six million, three hundred nineteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 729 810 900 972 1215 1350 1458 1620 2025 2430 2693 2700 2916 3645 4050 4860 5386 6075 7290 8079 8100 10772 12150 13465 14580 16158 18225 24237 24300 26930 32316 36450 40395 48474 53860 67325 72711 72900 80790 96948 121185 134650 145422 161580 201975 218133 242370 269300 290844 363555 403950 436266 484740 605925 654399 727110 807900 872532 1090665 1211850 1308798 1454220 1817775 1963197 2181330 2423700 2617596 3271995 3635550 3926394 4362660 5453325 6543990 7271100 7852788 9815985 10906650 13087980 16359975 19631970 21813300 32719950 39263940 49079925 65439900 98159850 196319700