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196209936 = 243213281373
BaseRepresentation
bin10111011000111…
…10110100010000
3111200012111102200
423230132310100
5400212204221
631245243200
74601520426
oct1354366420
9450174380
10196209936
11a083447a
1255863500
133185b170
141c0b7116
151235b426
hexbb1ed10

196209936 has 120 divisors (see below), whose sum is σ = 595050456. Its totient is φ = 59996160.

The previous prime is 196209931. The next prime is 196209967. The reversal of 196209936 is 639902691.

It is a happy number.

196209936 is a `hidden beast` number, since 19 + 620 + 9 + 9 + 3 + 6 = 666.

196209936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18147600 + 178062336 = 4260^2 + 13344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 196209891 and 196209900.

It is not an unprimeable number, because it can be changed into a prime (196209931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525846 + ... + 526218.

Almost surely, 2196209936 is an apocalyptic number.

196209936 is a gapful number since it is divisible by the number (16) 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 196209936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297525228).

196209936 is an abundant number, since it is smaller than the sum of its proper divisors (398840520).

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

196209936 is a wasteful number, since it uses less digits than its factorization.

196209936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 196209936 is about 14007.4957076560. The cubic root of 196209936 is about 581.0858927624.

The spelling of 196209936 in words is "one hundred ninety-six million, two hundred nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 281 312 373 468 562 624 746 843 936 1119 1124 1492 1686 1872 2238 2248 2529 2984 3357 3372 3653 4476 4496 4849 5058 5968 6714 6744 7306 8952 9698 10116 10959 13428 13488 14547 14612 17904 19396 20232 21918 26856 29094 29224 32877 38792 40464 43641 43836 53712 58188 58448 65754 77584 87282 87672 104813 116376 131508 174564 175344 209626 232752 263016 314439 349128 419252 526032 628878 698256 838504 943317 1257756 1362569 1677008 1886634 2515512 2725138 3773268 4087707 5031024 5450276 7546536 8175414 10900552 12263121 15093072 16350828 21801104 24526242 32701656 49052484 65403312 98104968 196209936