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133407714 = 231129471483
BaseRepresentation
bin1111111001110…
…10001111100010
3100022000210222110
413330322033202
5233123021324
621123220150
73206642526
oct774721742
9308023873
10133407714
116933a210
1238817656
132183c89b
1413a09d86
15baa3329
hex7f3a3e2

133407714 has 64 divisors (see below), whose sum is σ = 307722240. Its totient is φ = 38176320.

The previous prime is 133407713. The next prime is 133407737. The reversal of 133407714 is 417704331.

It is not an unprimeable number, because it can be changed into a prime (133407713) 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 31 ways as a sum of consecutive naturals, for example, 89217 + ... + 90699.

It is an arithmetic number, because the mean of its divisors is an integer number (4808160).

Almost surely, 2133407714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133407714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153861120).

133407714 is an abundant number, since it is smaller than the sum of its proper divisors (174314526).

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

133407714 is a wasteful number, since it uses less digits than its factorization.

133407714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 133407714 is about 11550.2257120803. The cubic root of 133407714 is about 510.9679349470.

The spelling of 133407714 in words is "one hundred thirty-three million, four hundred seven thousand, seven hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 47 58 66 87 94 141 174 282 319 517 638 957 1034 1363 1483 1551 1914 2726 2966 3102 4089 4449 8178 8898 14993 16313 29986 32626 43007 44979 48939 69701 86014 89958 97878 129021 139402 209103 258042 418206 473077 766711 946154 1419231 1533422 2021329 2300133 2838462 4042658 4600266 6063987 12127974 22234619 44469238 66703857 133407714