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730218132 = 223374720551
BaseRepresentation
bin101011100001100…
…011111010010100
31212220000220222000
4223201203322110
52443413440012
6200243035300
724044515560
oct5341437224
91786026860
10730218132
11345209766
1218466bb30
13b838c747
146cda26a0
1544190ddc
hex2b863e94

730218132 has 96 divisors (see below), whose sum is σ = 2209751040. Its totient is φ = 204184800.

The previous prime is 730218103. The next prime is 730218133. The reversal of 730218132 is 231812037.

730218132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 730218096 and 730218105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730218133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25257 + ... + 45807.

It is an arithmetic number, because the mean of its divisors is an integer number (23018240).

Almost surely, 2730218132 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 730218132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104875520).

730218132 is an abundant number, since it is smaller than the sum of its proper divisors (1479532908).

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

730218132 is a wasteful number, since it uses less digits than its factorization.

730218132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20618 (or 20610 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 730218132 is about 27022.5485844692. The cubic root of 730218132 is about 900.5010099361.

The spelling of 730218132 in words is "seven hundred thirty million, two hundred eighteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 84 94 108 126 141 188 189 252 282 329 378 423 564 658 756 846 987 1269 1316 1692 1974 2538 2961 3948 5076 5922 8883 11844 17766 20551 35532 41102 61653 82204 123306 143857 184959 246612 287714 369918 431571 554877 575428 739836 863142 965897 1109754 1294713 1726284 1931794 2219508 2589426 2897691 3863588 3884139 5178852 5795382 6761279 7768278 8693073 11590764 13522558 15536556 17386146 20283837 26079219 27045116 34772292 40567674 52158438 60851511 81135348 104316876 121703022 182554533 243406044 365109066 730218132