Search a number
-
+
133338996 = 223272269281
BaseRepresentation
bin1111111001010…
…01011101110100
3100021220022201100
413330221131310
5233113321441
621121530100
73206235300
oct774513564
9307808640
10133338996
11692a261a
12387a3930
132181751b
14139ccd00
15ba8ccb6
hex7f29774

133338996 has 108 divisors (see below), whose sum is σ = 394938180. Its totient is φ = 37820160.

The previous prime is 133338971. The next prime is 133339021. The reversal of 133338996 is 699833331.

It is an interprime number because it is at equal distance from previous prime (133338971) and next prime (133339021).

It can be written as a sum of positive squares in 2 ways, for example, as 44036496 + 89302500 = 6636^2 + 9450^2 .

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 35 ways as a sum of consecutive naturals, for example, 474376 + ... + 474656.

It is an arithmetic number, because the mean of its divisors is an integer number (3656835).

Almost surely, 2133338996 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 133338996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197469090).

133338996 is an abundant number, since it is smaller than the sum of its proper divisors (261599184).

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

133338996 is a wasteful number, since it uses less digits than its factorization.

133338996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 133338996 is about 11547.2505818485. The cubic root of 133338996 is about 510.8801870848.

The spelling of 133338996 in words is "one hundred thirty-three million, three hundred thirty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 269 281 294 441 538 562 588 807 843 882 1076 1124 1614 1686 1764 1883 1967 2421 2529 3228 3372 3766 3934 4842 5058 5649 5901 7532 7868 9684 10116 11298 11802 13181 13769 16947 17703 22596 23604 26362 27538 33894 35406 39543 41307 52724 55076 67788 70812 75589 79086 82614 118629 123921 151178 158172 165228 226767 237258 247842 302356 453534 474516 495684 529123 680301 907068 1058246 1360602 1587369 2116492 2721204 3174738 3703861 4762107 6349476 7407722 9524214 11111583 14815444 19048428 22223166 33334749 44446332 66669498 133338996