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134900496 = 24324173313
BaseRepresentation
bin10000000101001…
…10101100010000
3100101211122200200
420002212230100
5234013303441
621215215200
73225430623
oct1002465420
9311748620
10134900496
116a169815
1239217500
1321c431a3
1413cb7dba
15bc9a7b6
hex80a6b10

134900496 has 120 divisors (see below), whose sum is σ = 393292536. Its totient is φ = 43130880.

The previous prime is 134900477. The next prime is 134900501. The reversal of 134900496 is 694009431.

It can be written as a sum of positive squares in 4 ways, for example, as 5760000 + 129140496 = 2400^2 + 11364^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134900496.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430836 + ... + 431148.

Almost surely, 2134900496 is an apocalyptic number.

134900496 is a gapful number since it is divisible by the number (16) 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 134900496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196646268).

134900496 is an abundant number, since it is smaller than the sum of its proper divisors (258392040).

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

134900496 is a wasteful number, since it uses less digits than its factorization.

134900496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 134900496 is about 11614.6672789194. The cubic root of 134900496 is about 512.8667163974.

The spelling of 134900496 in words is "one hundred thirty-four million, nine hundred thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 73 82 123 144 146 164 219 246 292 313 328 369 438 492 584 626 656 657 738 876 939 984 1168 1252 1314 1476 1752 1878 1968 2504 2628 2817 2952 2993 3504 3756 5008 5256 5634 5904 5986 7512 8979 10512 11268 11972 12833 15024 17958 22536 22849 23944 25666 26937 35916 38499 45072 45698 47888 51332 53874 68547 71832 76998 91396 102664 107748 115497 137094 143664 153996 182792 205328 205641 215496 230994 274188 307992 365584 411282 430992 461988 548376 615984 822564 923976 936809 1096752 1645128 1847952 1873618 2810427 3290256 3747236 5620854 7494472 8431281 11241708 14988944 16862562 22483416 33725124 44966832 67450248 134900496