Search a number
-
+
134165024 = 257311392
BaseRepresentation
bin1111111111100…
…11001000100000
3100100110021210222
413333303020200
5233321240044
621151342212
73216245450
oct777631040
9310407728
10134165024
1169807194
1238b21968
1321a464b6
1413b65d60
15bba28ee
hex7ff3220

134165024 has 72 divisors (see below), whose sum is σ = 313867008. Its totient is φ = 55244160.

The previous prime is 134164999. The next prime is 134165027. The reversal of 134165024 is 420561431.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 134164984 and 134165002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134165027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 965147 + ... + 965285.

It is an arithmetic number, because the mean of its divisors is an integer number (4359264).

Almost surely, 2134165024 is an apocalyptic number.

134165024 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 134165024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156933504).

134165024 is an abundant number, since it is smaller than the sum of its proper divisors (179701984).

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

134165024 is an equidigital number, since it uses as much as digits as its factorization.

134165024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 134165024 is about 11582.9626607358. The cubic root of 134165024 is about 511.9329746246.

The spelling of 134165024 in words is "one hundred thirty-four million, one hundred sixty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 139 217 224 248 278 434 496 556 868 973 992 1112 1736 1946 2224 3472 3892 4309 4448 6944 7784 8618 15568 17236 19321 30163 31136 34472 38642 60326 68944 77284 120652 135247 137888 154568 241304 270494 309136 482608 540988 598951 618272 965216 1081976 1197902 2163952 2395804 4192657 4327904 4791608 8385314 9583216 16770628 19166432 33541256 67082512 134165024