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729803740 = 225433172677
BaseRepresentation
bin101011011111111…
…110101111011100
31212212020212112011
4223133332233130
52443312204430
6200230121004
724041141461
oct5337765734
91785225464
10729803740
11344a56396
121844b0164
13b8275c43
146ccd5668
154410d22a
hex2b7febdc

729803740 has 48 divisors (see below), whose sum is σ = 1573764192. Its totient is φ = 284126976.

The previous prime is 729803729. The next prime is 729803741. The reversal of 729803740 is 47308927.

It is a super-2 number, since 2×7298037402 = 1065226997835975200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 729803693 and 729803702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729803741) 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, 271282 + ... + 273958.

It is an arithmetic number, because the mean of its divisors is an integer number (32786754).

Almost surely, 2729803740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729803740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786882096).

729803740 is an abundant number, since it is smaller than the sum of its proper divisors (843960452).

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

729803740 is a wasteful number, since it uses less digits than its factorization.

729803740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 729803740 is about 27014.8799738218. The cubic root of 729803740 is about 900.3306357201.

The spelling of 729803740 in words is "seven hundred twenty-nine million, eight hundred three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 317 430 634 860 1268 1585 2677 3170 5354 6340 10708 13385 13631 26770 27262 53540 54524 68155 115111 136310 230222 272620 460444 575555 848609 1151110 1697218 2302220 3394436 4243045 8486090 16972180 36490187 72980374 145960748 182450935 364901870 729803740