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133889652 = 223313472029
BaseRepresentation
bin1111111101011…
…11111001110100
3100022221022002000
413332233321310
5233233432102
621141415300
73214020561
oct776577164
9308838060
10133889652
1169639306
1238a0a530
132197b060
1413ad3868
15bb4b01c
hex7fafe74

133889652 has 96 divisors (see below), whose sum is σ = 381964800. Its totient is φ = 40300416.

The previous prime is 133889633. The next prime is 133889653. The reversal of 133889652 is 256988331.

It is a happy number.

It is a super-2 number, since 2×1338896522 = 35852877825362208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133889598 and 133889607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133889653) 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, 64974 + ... + 67002.

It is an arithmetic number, because the mean of its divisors is an integer number (3978800).

Almost surely, 2133889652 is an apocalyptic number.

133889652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133889652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190982400).

133889652 is an abundant number, since it is smaller than the sum of its proper divisors (248075148).

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

133889652 is a wasteful number, since it uses less digits than its factorization.

133889652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2094 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 133889652 is about 11571.0696134800. The cubic root of 133889652 is about 511.5824894267.

The spelling of 133889652 in words is "one hundred thirty-three million, eight hundred eighty-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 78 94 108 117 141 156 188 234 282 351 423 468 564 611 702 846 1222 1269 1404 1692 1833 2029 2444 2538 3666 4058 5076 5499 6087 7332 8116 10998 12174 16497 18261 21996 24348 26377 32994 36522 52754 54783 65988 73044 79131 95363 105508 109566 158262 190726 219132 237393 286089 316524 381452 474786 572178 712179 858267 949572 1144356 1239719 1424358 1716534 2479438 2574801 2848716 3433068 3719157 4958876 5149602 7438314 10299204 11157471 14876628 22314942 33472413 44629884 66944826 133889652