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201066732 = 22333767751
BaseRepresentation
bin10111111110000…
…00100011101100
3112000100020201000
423333000203230
5402433113412
631541320300
74661016246
oct1377004354
9460306630
10201066732
11a3551459
1257406090
133286b9c9
141c9bd096
15129ba4dc
hexbfc08ec

201066732 has 96 divisors (see below), whose sum is σ = 544087040. Its totient is φ = 64152000.

The previous prime is 201066661. The next prime is 201066739. The reversal of 201066732 is 237660102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201066696 and 201066705.

It is not an unprimeable number, because it can be changed into a prime (201066739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267357 + ... + 268107.

Almost surely, 2201066732 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 201066732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272043520).

201066732 is an abundant number, since it is smaller than the sum of its proper divisors (343020308).

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

201066732 is a wasteful number, since it uses less digits than its factorization.

201066732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 201066732 is about 14179.8001396353. The cubic root of 201066732 is about 585.8414190361.

The spelling of 201066732 in words is "two hundred one million, sixty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 67 74 108 111 134 148 201 222 268 333 402 444 603 666 751 804 999 1206 1332 1502 1809 1998 2253 2412 2479 3004 3618 3996 4506 4958 6759 7236 7437 9012 9916 13518 14874 20277 22311 27036 27787 29748 40554 44622 50317 55574 66933 81108 83361 89244 100634 111148 133866 150951 166722 201268 250083 267732 301902 333444 452853 500166 603804 750249 905706 1000332 1358559 1500498 1811412 1861729 2717118 3000996 3723458 5434236 5585187 7446916 11170374 16755561 22340748 33511122 50266683 67022244 100533366 201066732