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134966104 = 2371331097
BaseRepresentation
bin10000000101101…
…10101101011000
3100101221222200121
420002312231120
5234022403404
621220443024
73226123120
oct1002665530
9311858617
10134966104
116a204039
1239249474
1321c67000
1413cd3c80
15bcaee54
hex80b6b58

134966104 has 64 divisors (see below), whose sum is σ = 313588800. Its totient is φ = 53344512.

The previous prime is 134966057. The next prime is 134966107. The reversal of 134966104 is 401669431.

It is a self number, because there is not a number n which added to its sum of digits gives 134966104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134966107) 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, 122484 + ... + 123580.

It is an arithmetic number, because the mean of its divisors is an integer number (4899825).

Almost surely, 2134966104 is an apocalyptic number.

134966104 is a gapful number since it is divisible by the number (14) 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 134966104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156794400).

134966104 is an abundant number, since it is smaller than the sum of its proper divisors (178622696).

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

134966104 is a wasteful number, since it uses less digits than its factorization.

134966104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1119 counting only the distinct ones).

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

The square root of 134966104 is about 11617.4912954562. The cubic root of 134966104 is about 512.9498460798.

It can be divided in two parts, 13496 and 6104, that added together give a square (19600 = 1402).

The spelling of 134966104 in words is "one hundred thirty-four million, nine hundred sixty-six thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1097 1183 1352 2194 2197 2366 4388 4394 4732 7679 8776 8788 9464 14261 15358 15379 17576 28522 30716 30758 57044 61432 61516 99827 114088 123032 185393 199654 370786 399308 741572 798616 1297751 1483144 2410109 2595502 4820218 5191004 9640436 10382008 16870763 19280872 33741526 67483052 134966104