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729497070 = 233525710513
BaseRepresentation
bin101011011110110…
…011110111101110
31212211200021212000
4223132303313232
52443222401240
6200215353130
724035423421
oct5336636756
91784607760
10729497070
11344866a45
121843827a6
13b8199493
146cc559b8
154409c430
hex2b7b3dee

729497070 has 64 divisors (see below), whose sum is σ = 1953080640. Its totient is φ = 193757184.

The previous prime is 729497033. The next prime is 729497089. The reversal of 729497070 is 70794927.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64134 + ... + 74646.

It is an arithmetic number, because the mean of its divisors is an integer number (30516885).

Almost surely, 2729497070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729497070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976540320).

729497070 is an abundant number, since it is smaller than the sum of its proper divisors (1223583570).

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

729497070 is a wasteful number, since it uses less digits than its factorization.

729497070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10786 (or 10780 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 729497070 is about 27009.2034314231. The cubic root of 729497070 is about 900.2045090810.

The spelling of 729497070 in words is "seven hundred twenty-nine million, four hundred ninety-seven thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 257 270 514 771 1285 1542 2313 2570 3855 4626 6939 7710 10513 11565 13878 21026 23130 31539 34695 52565 63078 69390 94617 105130 157695 189234 283851 315390 473085 567702 946170 1419255 2701841 2838510 5403682 8105523 13509205 16211046 24316569 27018410 40527615 48633138 72949707 81055230 121582845 145899414 243165690 364748535 729497070