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133690480 = 24571121973
BaseRepresentation
bin1111111011111…
…11010001110000
3100022120011212021
413331333101300
5233211043410
621133241224
73212231110
oct775772160
9308504767
10133690480
1169512700
1238933214
132190b4c1
1413a81040
15bb0beda
hex7f7f470

133690480 has 120 divisors (see below), whose sum is σ = 390662496. Its totient is φ = 41648640.

The previous prime is 133690477. The next prime is 133690537. The reversal of 133690480 is 84096331.

133690480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66774 + ... + 68746.

Almost surely, 2133690480 is an apocalyptic number.

133690480 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 133690480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195331248).

133690480 is an abundant number, since it is smaller than the sum of its proper divisors (256972016).

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

133690480 is a wasteful number, since it uses less digits than its factorization.

133690480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1998 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 133690480 is about 11562.4599458766. The cubic root of 133690480 is about 511.3286896929.

The spelling of 133690480 in words is "one hundred thirty-three million, six hundred ninety thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 560 605 616 770 847 880 968 1210 1232 1540 1694 1936 1973 2420 3080 3388 3946 4235 4840 6160 6776 7892 8470 9680 9865 13552 13811 15784 16940 19730 21703 27622 31568 33880 39460 43406 55244 67760 69055 78920 86812 108515 110488 138110 151921 157840 173624 217030 220976 238733 276220 303842 347248 434060 477466 552440 607684 759605 868120 954932 1104880 1193665 1215368 1519210 1671131 1736240 1909864 2387330 2430736 3038420 3342262 3819728 4774660 6076840 6684524 8355655 9549320 12153680 13369048 16711310 19098640 26738096 33422620 66845240 133690480