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133407729 = 367132011
BaseRepresentation
bin1111111001110…
…10001111110001
3100022000211000000
413330322033301
5233123021404
621123220213
73206642550
oct774721761
9308024000
10133407729
116933a224
1238817669
132183c8b0
1413a09d97
15baa3339
hex7f3a3f1

133407729 has 56 divisors (see below), whose sum is σ = 246300992. Its totient is φ = 70333920.

The previous prime is 133407713. The next prime is 133407737. The reversal of 133407729 is 927704331.

It is not a de Polignac number, because 133407729 - 24 = 133407713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133407693 and 133407702.

It is not an unprimeable number, because it can be changed into a prime (133407779) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 65334 + ... + 67344.

It is an arithmetic number, because the mean of its divisors is an integer number (4398232).

Almost surely, 2133407729 is an apocalyptic number.

It is an amenable number.

133407729 is a deficient number, since it is larger than the sum of its proper divisors (112893263).

133407729 is an equidigital number, since it uses as much as digits as its factorization.

133407729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 133407729 is about 11550.2263614182. The cubic root of 133407729 is about 510.9679540976.

The spelling of 133407729 in words is "one hundred thirty-three million, four hundred seven thousand, seven hundred twenty-nine".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 243 273 351 567 729 819 1053 1701 2011 2457 3159 5103 6033 7371 9477 14077 18099 22113 26143 42231 54297 66339 78429 126693 162891 183001 235287 380079 488673 549003 705861 1140237 1466019 1647009 2117583 3420711 4941027 6352749 10262133 14823081 19058247 44469243 133407729