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133683270 = 23572211431
BaseRepresentation
bin1111111011111…
…01100001000110
3100022112210222020
413331331201012
5233210331040
621133144010
73212201100
oct775754106
9308483866
10133683270
1169508246
123892b006
1321908136
1413a7c570
15bb09cd0
hex7f7d846

133683270 has 96 divisors (see below), whose sum is σ = 375860736. Its totient is φ = 30340800.

The previous prime is 133683241. The next prime is 133683271. The reversal of 133683270 is 72386331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133683271) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 309955 + ... + 310385.

It is an arithmetic number, because the mean of its divisors is an integer number (3915216).

Almost surely, 2133683270 is an apocalyptic number.

133683270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133683270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187930368).

133683270 is an abundant number, since it is smaller than the sum of its proper divisors (242177466).

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

133683270 is a wasteful number, since it uses less digits than its factorization.

133683270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 133683270 is about 11562.1481568089. The cubic root of 133683270 is about 511.3194974499.

The spelling of 133683270 in words is "one hundred thirty-three million, six hundred eighty-three thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 211 245 294 422 431 490 633 735 862 1055 1266 1293 1470 1477 2110 2155 2586 2954 3017 3165 4310 4431 6034 6330 6465 7385 8862 9051 10339 12930 14770 15085 18102 20678 21119 22155 30170 31017 42238 44310 45255 51695 62034 63357 90510 90941 103390 105595 126714 155085 181882 211190 272823 310170 316785 454705 545646 633570 636587 909410 1273174 1364115 1909761 2728230 3182935 3819522 4456109 6365870 8912218 9548805 13368327 19097610 22280545 26736654 44561090 66841635 133683270