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201066072 = 233174611069
BaseRepresentation
bin10111111110000…
…00011001011000
3112000100012210120
423333000121120
5402433103242
631541313240
74661014314
oct1377003130
9460305716
10201066072
11a3550a09
1257405820
133286b60c
141c9bcb44
15129ba1ec
hexbfc0658

201066072 has 64 divisors (see below), whose sum is σ = 533887200. Its totient is φ = 62883840.

The previous prime is 201066067. The next prime is 201066079. The reversal of 201066072 is 270660102.

It is a happy number.

201066072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201066079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187554 + ... + 188622.

Almost surely, 2201066072 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 201066072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266943600).

201066072 is an abundant number, since it is smaller than the sum of its proper divisors (332821128).

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

201066072 is a wasteful number, since it uses less digits than its factorization.

201066072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 201066072 is about 14179.7768670738. The cubic root of 201066072 is about 585.8407780287.

The spelling of 201066072 in words is "two hundred one million, sixty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 461 922 1069 1383 1844 2138 2766 3207 3688 4276 5532 6414 7837 8552 11064 12828 15674 18173 23511 25656 31348 36346 47022 54519 62696 72692 94044 109038 145384 188088 218076 436152 492809 985618 1478427 1971236 2956854 3942472 5913708 8377753 11827416 16755506 25133259 33511012 50266518 67022024 100533036 201066072