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893834130 = 235710739779
BaseRepresentation
bin110101010001101…
…101001110010010
32022021220110220210
4311101231032102
53312310143010
6224405544550
731102315260
oct6521551622
92267813823
10893834130
114196008a2
1220b415156
13113248047
14869d3430
155370eb20
hex3546d392

893834130 has 64 divisors (see below), whose sum is σ = 2474634240. Its totient is φ = 202390464.

The previous prime is 893834111. The next prime is 893834131. The reversal of 893834130 is 31438398.

893834130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (893834131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2581 + ... + 42359.

It is an arithmetic number, because the mean of its divisors is an integer number (38666160).

Almost surely, 2893834130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 893834130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237317120).

893834130 is an abundant number, since it is smaller than the sum of its proper divisors (1580800110).

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

893834130 is a wasteful number, since it uses less digits than its factorization.

893834130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39903.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 893834130 is about 29897.0588854489. The cubic root of 893834130 is about 963.2794850496.

The spelling of 893834130 in words is "eight hundred ninety-three million, eight hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 107 210 214 321 535 642 749 1070 1498 1605 2247 3210 3745 4494 7490 11235 22470 39779 79558 119337 198895 238674 278453 397790 556906 596685 835359 1193370 1392265 1670718 2784530 4176795 4256353 8353590 8512706 12769059 21281765 25538118 29794471 42563530 59588942 63845295 89383413 127690590 148972355 178766826 297944710 446917065 893834130