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133689320 = 23519533319
BaseRepresentation
bin1111111011111…
…10111111101000
3100022120010021022
413331332333220
5233211024240
621133232012
73212224532
oct775767750
9308503238
10133689320
1169511846
1238932608
132190ab0b
1413a80852
15bb0b9b5
hex7f7efe8

133689320 has 64 divisors (see below), whose sum is σ = 322704000. Its totient is φ = 49690368.

The previous prime is 133689319. The next prime is 133689323. The reversal of 133689320 is 23986331.

It is not an unprimeable number, because it can be changed into a prime (133689323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38621 + ... + 41939.

It is an arithmetic number, because the mean of its divisors is an integer number (5042250).

Almost surely, 2133689320 is an apocalyptic number.

133689320 is a gapful number since it is divisible by the number (10) 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 133689320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161352000).

133689320 is an abundant number, since it is smaller than the sum of its proper divisors (189014680).

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

133689320 is a wasteful number, since it uses less digits than its factorization.

133689320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 133689320 is about 11562.4097834318. The cubic root of 133689320 is about 511.3272107968.

The spelling of 133689320 in words is "one hundred thirty-three million, six hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 53 76 95 106 152 190 212 265 380 424 530 760 1007 1060 2014 2120 3319 4028 5035 6638 8056 10070 13276 16595 20140 26552 33190 40280 63061 66380 126122 132760 175907 252244 315305 351814 504488 630610 703628 879535 1261220 1407256 1759070 2522440 3342233 3518140 6684466 7036280 13368932 16711165 26737864 33422330 66844660 133689320