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729690136 = 23719798681
BaseRepresentation
bin101011011111100…
…011000000011000
31212212001002200121
4223133203000120
52443300041021
6200223443024
724040156330
oct5337430030
91785032617
10729690136
11344988aaa
12184456474
13b8236316
146cca60c0
15440d9741
hex2b7e3018

729690136 has 64 divisors (see below), whose sum is σ = 1666944000. Its totient is φ = 292481280.

The previous prime is 729690127. The next prime is 729690139. The reversal of 729690136 is 631096927.

It is a junction number, because it is equal to n+sod(n) for n = 729690092 and 729690101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729690139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79716 + ... + 88396.

It is an arithmetic number, because the mean of its divisors is an integer number (26046000).

Almost surely, 2729690136 is an apocalyptic number.

729690136 is a gapful number since it is divisible by the number (76) 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 729690136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833472000).

729690136 is an abundant number, since it is smaller than the sum of its proper divisors (937253864).

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

729690136 is a wasteful number, since it uses less digits than its factorization.

729690136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The square root of 729690136 is about 27012.7772729869. Note that the first 3 decimals coincide. The cubic root of 729690136 is about 900.2839170095.

The spelling of 729690136 in words is "seven hundred twenty-nine million, six hundred ninety thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 79 133 152 158 266 316 532 553 632 1064 1106 1501 2212 3002 4424 6004 8681 10507 12008 17362 21014 34724 42028 60767 69448 84056 121534 164939 243068 329878 486136 659756 685799 1154573 1319512 1371598 2309146 2743196 4618292 4800593 5486392 9236584 9601186 13030181 19202372 26060362 38404744 52120724 91211267 104241448 182422534 364845068 729690136