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201996396 = 223372311617
BaseRepresentation
bin11000000101000…
…11100001101100
3112002002110222000
430002203201230
5403202341041
632013252300
75001640530
oct1402434154
9462073860
10201996396
11a4026978
1257794090
1332b05bc4
141cb81bc0
1512b00bb6
hexc0a386c

201996396 has 96 divisors (see below), whose sum is σ = 624583680. Its totient is φ = 55199232.

The previous prime is 201996383. The next prime is 201996439. The reversal of 201996396 is 693699102.

It is a happy number.

201996396 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 9 + 639 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11580 + ... + 23196.

It is an arithmetic number, because the mean of its divisors is an integer number (6506080).

Almost surely, 2201996396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201996396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312291840).

201996396 is an abundant number, since it is smaller than the sum of its proper divisors (422587284).

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

201996396 is a wasteful number, since it uses less digits than its factorization.

201996396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11660 (or 11652 counting only the distinct ones).

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

The square root of 201996396 is about 14212.5436147088. The cubic root of 201996396 is about 586.7429413282.

The spelling of 201996396 in words is "two hundred one million, nine hundred ninety-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1932 2484 2898 4347 5796 8694 11617 17388 23234 34851 46468 69702 81319 104553 139404 162638 209106 243957 267191 313659 325276 418212 487914 534382 627318 731871 801573 975828 1068764 1254636 1463742 1603146 1870337 2195613 2404719 2927484 3206292 3740674 4391226 4809438 5611011 7214157 7481348 8782452 9618876 11222022 14428314 16833033 22444044 28856628 33666066 50499099 67332132 100998198 201996396