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20923272 = 233547229
BaseRepresentation
bin100111111010…
…0001110001000
31110101000100000
41033310032020
520324021042
62024243000
7342562536
oct117641610
943330300
1020923272
11108a0a67
127010460
134447746
142ac9156
151c8474c
hex13f4388

20923272 has 96 divisors (see below), whose sum is σ = 60278400. Its totient is φ = 6796224.

The previous prime is 20923267. The next prime is 20923289. The reversal of 20923272 is 27232902.

It is a super-2 number, since 2×209232722 = 875566622371968, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91254 + ... + 91482.

It is an arithmetic number, because the mean of its divisors is an integer number (627900).

Almost surely, 220923272 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 20923272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30139200).

20923272 is an abundant number, since it is smaller than the sum of its proper divisors (39355128).

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

20923272 is a wasteful number, since it uses less digits than its factorization.

20923272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 20923272 is about 4574.1963228528. The cubic root of 20923272 is about 275.5559968872. Note that the first 3 decimals are identical.

The spelling of 20923272 in words is "twenty million, nine hundred twenty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 229 243 282 324 376 423 458 486 564 648 687 846 916 972 1128 1269 1374 1692 1832 1944 2061 2538 2748 3384 3807 4122 5076 5496 6183 7614 8244 10152 10763 11421 12366 15228 16488 18549 21526 22842 24732 30456 32289 37098 43052 45684 49464 55647 64578 74196 86104 91368 96867 111294 129156 148392 193734 222588 258312 290601 387468 445176 581202 774936 871803 1162404 1743606 2324808 2615409 3487212 5230818 6974424 10461636 20923272