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201309696 = 29327792
BaseRepresentation
bin10111111111110…
…11111000000000
3112000210120222200
423333323320000
5403013402241
631550433200
74663050510
oct1377737000
9460716880
10201309696
11a36a7a55
1257502800
1332925483
141ca43840
1512a174b6
hexbffbe00

201309696 has 180 divisors, whose sum is σ = 672503832. Its totient is φ = 56788992.

The previous prime is 201309683. The next prime is 201309701. The reversal of 201309696 is 696903102.

It is a super-2 number, since 2×2013096962 = 81051187407224832, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201309696.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2548185 + ... + 2548263.

Almost surely, 2201309696 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 201309696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336251916).

201309696 is an abundant number, since it is smaller than the sum of its proper divisors (471194136).

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

201309696 is an frugal number, since it uses more digits than its factorization.

201309696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 201309696 is about 14188.3648106468. The cubic root of 201309696 is about 586.0772960819.

The spelling of 201309696 in words is "two hundred one million, three hundred nine thousand, six hundred ninety-six".