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133925766 = 23133197571
BaseRepresentation
bin1111111101110…
…00101110000110
3100100000010121120
413332320232012
5233241111031
621142254410
73214231062
oct776705606
9310003546
10133925766
1169663457
1238a27406
1321991620
1413b02aa2
15bb56a96
hex7fb8b86

133925766 has 64 divisors (see below), whose sum is σ = 301357056. Its totient is φ = 39398400.

The previous prime is 133925749. The next prime is 133925783. The reversal of 133925766 is 667529331.

It is an interprime number because it is at equal distance from previous prime (133925749) and next prime (133925783).

It is a super-3 number, since 3×1339257663 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 31 ways as a sum of consecutive naturals, for example, 234261 + ... + 234831.

It is an arithmetic number, because the mean of its divisors is an integer number (4708704).

Almost surely, 2133925766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133925766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150678528).

133925766 is an abundant number, since it is smaller than the sum of its proper divisors (167431290).

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

133925766 is a wasteful number, since it uses less digits than its factorization.

133925766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717.

The product of its digits is 204120, while the sum is 42.

The square root of 133925766 is about 11572.6300381547. The cubic root of 133925766 is about 511.6284816023.

The spelling of 133925766 in words is "one hundred thirty-three million, nine hundred twenty-five thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 97 186 194 291 403 571 582 806 1142 1209 1261 1713 2418 2522 3007 3426 3783 6014 7423 7566 9021 14846 17701 18042 22269 35402 39091 44538 53103 55387 78182 106206 110774 117273 166161 230113 234546 332322 460226 690339 720031 1380678 1440062 1716997 2160093 3433994 4320186 5150991 10301982 22320961 44641922 66962883 133925766