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20830272 = 263235389
BaseRepresentation
bin100111101110…
…1100001000000
31110012021202120
41033131201000
520313032042
62022244240
7342024441
oct117354100
943167676
1020830272
1110838101
126b86680
134414308
142aa32c8
151c66dec
hex13dd840

20830272 has 112 divisors (see below), whose sum is σ = 59253120. Its totient is φ = 6443008.

The previous prime is 20830267. The next prime is 20830291. The reversal of 20830272 is 27203802.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234004 + ... + 234092.

Almost surely, 220830272 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 20830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29626560).

20830272 is an abundant number, since it is smaller than the sum of its proper divisors (38422848).

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

20830272 is a wasteful number, since it uses less digits than its factorization.

20830272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20830272 is about 4564.0192812914. The cubic root of 20830272 is about 275.1471256811.

The spelling of 20830272 in words is "twenty million, eight hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 64 69 89 92 96 106 138 159 178 184 192 212 267 276 318 356 368 424 534 552 636 712 736 848 1068 1104 1219 1272 1424 1472 1696 2047 2136 2208 2438 2544 2848 3392 3657 4094 4272 4416 4717 4876 5088 5696 6141 7314 8188 8544 9434 9752 10176 12282 14151 14628 16376 17088 18868 19504 24564 28302 29256 32752 37736 39008 49128 56604 58512 65504 75472 78016 98256 108491 113208 117024 131008 150944 196512 216982 226416 234048 301888 325473 393024 433964 452832 650946 867928 905664 1301892 1735856 2603784 3471712 5207568 6943424 10415136 20830272