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134420616 = 233211891907
BaseRepresentation
bin10000000001100…
…01100010001000
3100100221021102100
420000301202020
5233402424431
621201033400
73221361561
oct1000614210
9310837370
10134420616
1169971220
1239025860
1321b05935
1413bd1168
15bc034e6
hex8031888

134420616 has 96 divisors (see below), whose sum is σ = 401824800. Its totient is φ = 40254720.

The previous prime is 134420599. The next prime is 134420617. The reversal of 134420616 is 616024431.

134420616 is a `hidden beast` number, since 1 + 3 + 4 + 42 + 0 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 134420616.

It is not an unprimeable number, because it can be changed into a prime (134420617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69535 + ... + 71441.

It is an arithmetic number, because the mean of its divisors is an integer number (4185675).

Almost surely, 2134420616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134420616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200912400).

134420616 is an abundant number, since it is smaller than the sum of its proper divisors (267404184).

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

134420616 is a wasteful number, since it uses less digits than its factorization.

134420616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 134420616 is about 11593.9905123301. The cubic root of 134420616 is about 512.2578555489.

The spelling of 134420616 in words is "one hundred thirty-four million, four hundred twenty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 89 99 132 178 198 264 267 356 396 534 712 792 801 979 1068 1602 1907 1958 2136 2937 3204 3814 3916 5721 5874 6408 7628 7832 8811 11442 11748 15256 17163 17622 20977 22884 23496 34326 35244 41954 45768 62931 68652 70488 83908 125862 137304 167816 169723 188793 251724 339446 377586 503448 509169 678892 755172 1018338 1357784 1510344 1527507 1866953 2036676 3055014 3733906 4073352 5600859 6110028 7467812 11201718 12220056 14935624 16802577 22403436 33605154 44806872 67210308 134420616