Search a number
-
+
134964928 = 267419719
BaseRepresentation
bin10000000101101…
…10011011000000
3100101221221002001
420002312123000
5234022334203
621220433344
73226116520
oct1002663300
9311857061
10134964928
116a20316a
1239248854
1321c66607
1413cd3680
15bcae91d
hex80b66c0

134964928 has 56 divisors (see below), whose sum is σ = 307238400. Its totient is φ = 57623808.

The previous prime is 134964911. The next prime is 134965049. The reversal of 134964928 is 829469431.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187353 + ... + 188071.

It is an arithmetic number, because the mean of its divisors is an integer number (5486400).

Almost surely, 2134964928 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 134964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

134964928 is an abundant number, since it is smaller than the sum of its proper divisors (172273472).

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

134964928 is an equidigital number, since it uses as much as digits as its factorization.

134964928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1147 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The square root of 134964928 is about 11617.4406820091. The cubic root of 134964928 is about 512.9483562470.

The spelling of 134964928 in words is "one hundred thirty-four million, nine hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 419 448 719 838 1438 1676 2876 2933 3352 5033 5752 5866 6704 10066 11504 11732 13408 20132 23008 23464 26816 40264 46016 46928 80528 93856 161056 187712 301261 322112 602522 1205044 2108827 2410088 4217654 4820176 8435308 9640352 16870616 19280704 33741232 67482464 134964928