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30729216 = 210371429
BaseRepresentation
bin111010100111…
…0010000000000
32010211012120010
41311032100000
530331313331
63014344520
7522123360
oct165162000
963735503
1030729216
1116389351
12a35b140
13649bb8b
14411c9a0
152a6ee46
hex1d4e400

30729216 has 88 divisors (see below), whose sum is σ = 93670720. Its totient is φ = 8773632.

The previous prime is 30729199. The next prime is 30729221. The reversal of 30729216 is 61292703.

It is an alternating number because its digits alternate between odd and even.

30729216 is a modest number, since divided by 9216 gives 3072 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20790 + ... + 22218.

It is an arithmetic number, because the mean of its divisors is an integer number (1064440).

Almost surely, 230729216 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 30729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46835360).

30729216 is an abundant number, since it is smaller than the sum of its proper divisors (62941504).

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

30729216 is a wasteful number, since it uses less digits than its factorization.

30729216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 30729216 is about 5543.3939062636. The cubic root of 30729216 is about 313.2207271033.

The spelling of 30729216 in words is "thirty million, seven hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1429 1536 1792 2688 2858 3072 3584 4287 5376 5716 7168 8574 10003 10752 11432 17148 20006 21504 22864 30009 34296 40012 45728 60018 68592 80024 91456 120036 137184 160048 182912 240072 274368 320096 365824 480144 548736 640192 731648 960288 1097472 1280384 1463296 1920576 2194944 2560768 3841152 4389888 5121536 7682304 10243072 15364608 30729216