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133657368 = 233132311063
BaseRepresentation
bin1111111011101…
…11001100011000
3100022111111102220
413331313030120
5233204013433
621132424040
73212032425
oct775671430
9308444386
10133657368
116949a839
1238918020
13218c9400
1413a72d4c
15bb022b3
hex7f77318

133657368 has 96 divisors (see below), whose sum is σ = 373847040. Its totient is φ = 39761280.

The previous prime is 133657351. The next prime is 133657411. The reversal of 133657368 is 863756331.

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 23 ways as a sum of consecutive naturals, for example, 125205 + ... + 126267.

It is an arithmetic number, because the mean of its divisors is an integer number (3894240).

Almost surely, 2133657368 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 133657368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186923520).

133657368 is an abundant number, since it is smaller than the sum of its proper divisors (240189672).

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

133657368 is a wasteful number, since it uses less digits than its factorization.

133657368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1112 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 133657368 is about 11561.0279819746. The cubic root of 133657368 is about 511.2864714946.

The spelling of 133657368 in words is "one hundred thirty-three million, six hundred fifty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 169 186 248 312 338 372 403 507 676 744 806 1014 1063 1209 1352 1612 2028 2126 2418 3189 3224 4056 4252 4836 5239 6378 8504 9672 10478 12756 13819 15717 20956 25512 27638 31434 32953 41457 41912 55276 62868 65906 82914 98859 110552 125736 131812 165828 179647 197718 263624 331656 359294 395436 428389 538941 718588 790872 856778 1077882 1285167 1437176 1713556 2155764 2570334 3427112 4311528 5140668 5569057 10281336 11138114 16707171 22276228 33414342 44552456 66828684 133657368