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729115380 = 2232571734039
BaseRepresentation
bin101011011101010…
…110101011110100
31212210221220021100
4223131112223310
52443123143010
6200203250100
724032243550
oct5335265364
91783856240
10729115380
113446261a4
12184219930
13b8094826
146cb96860
15440242c0
hex2b756af4

729115380 has 144 divisors (see below), whose sum is σ = 2676360960. Its totient is φ = 156847104.

The previous prime is 729115369. The next prime is 729115391. The reversal of 729115380 is 83511927.

It is an interprime number because it is at equal distance from previous prime (729115369) and next prime (729115391).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4401 + ... + 38439.

It is an arithmetic number, because the mean of its divisors is an integer number (18585840).

Almost surely, 2729115380 is an apocalyptic number.

729115380 is a gapful number since it is divisible by the number (70) 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 729115380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338180480).

729115380 is an abundant number, since it is smaller than the sum of its proper divisors (1947245580).

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

729115380 is a wasteful number, since it uses less digits than its factorization.

729115380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34078 (or 34073 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 729115380 is about 27002.1365821299. The cubic root of 729115380 is about 900.0474789767.

The spelling of 729115380 in words is "seven hundred twenty-nine million, one hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 34039 68078 102117 136156 170195 204234 238273 306351 340390 408468 476546 510585 578663 612702 680780 714819 953092 1021170 1157326 1191365 1225404 1429638 1531755 1735989 2042340 2144457 2314652 2382730 2859276 2893315 3063510 3471978 3574095 4050641 4288914 4765460 5207967 5786630 6127020 6943956 7148190 8101282 8577828 8679945 10415934 10722285 11573260 12151923 14296380 16202564 17359890 20253205 20831868 21444570 24303846 26039835 34719780 36455769 40506410 42889140 48607692 52079670 60759615 72911538 81012820 104159340 121519230 145823076 182278845 243038460 364557690 729115380