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729040620 = 2235721122543
BaseRepresentation
bin101011011101000…
…100011011101100
31212210211002201110
4223131010123230
52443113244440
6200201512020
724031512600
oct5335043354
91783732643
10729040620
11344585010
121841a2610
13b80697a9
146cb77500
154400c080
hex2b7446ec

729040620 has 144 divisors (see below), whose sum is σ = 2590576128. Its totient is φ = 151482240.

The previous prime is 729040589. The next prime is 729040633. The reversal of 729040620 is 26040927.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 21069 + ... + 43611.

It is an arithmetic number, because the mean of its divisors is an integer number (17990112).

Almost surely, 2729040620 is an apocalyptic number.

729040620 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 729040620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295288064).

729040620 is an abundant number, since it is smaller than the sum of its proper divisors (1861535508).

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

729040620 is a wasteful number, since it uses less digits than its factorization.

729040620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22580 (or 22571 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 729040620 is about 27000.7522117440. The cubic root of 729040620 is about 900.0167157389.

The spelling of 729040620 in words is "seven hundred twenty-nine million, forty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 4620 5390 6468 8085 10780 16170 22543 32340 45086 67629 90172 112715 135258 157801 225430 247973 270516 315602 338145 450860 473403 495946 631204 676290 743919 789005 946806 991892 1104607 1239865 1352580 1487838 1578010 1735811 1893612 2209214 2367015 2479730 2975676 3156020 3313821 3471622 3719595 4418428 4734030 4959460 5207433 5523035 6627642 6943244 7439190 8679055 9468060 10414866 11046070 12150677 13255284 14878380 16569105 17358110 20829732 22092140 24301354 26037165 33138210 34716220 36452031 48602708 52074330 60753385 66276420 72904062 104148660 121506770 145808124 182260155 243013540 364520310 729040620