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20729472 = 273371459
BaseRepresentation
bin100111100010…
…0111010000000
31110000011111020
41033010322000
520301320342
62020145440
7341124531
oct117047200
943004436
1020729472
11107793a5
126b38280
1343aa47a
142a78688
151c470ec
hex13c4e80

20729472 has 64 divisors (see below), whose sum is σ = 56589600. Its totient is φ = 6718464.

The previous prime is 20729419. The next prime is 20729479. The reversal of 20729472 is 27492702.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×207294722 = 859422018797568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20729479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13479 + ... + 14937.

Almost surely, 220729472 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 20729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28294800).

20729472 is an abundant number, since it is smaller than the sum of its proper divisors (35860128).

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

20729472 is a wasteful number, since it uses less digits than its factorization.

20729472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 20729472 is about 4552.9629912838. The cubic root of 20729472 is about 274.7025853467.

The spelling of 20729472 in words is "twenty million, seven hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1459 1776 2368 2918 3552 4377 4736 5836 7104 8754 11672 14208 17508 23344 35016 46688 53983 70032 93376 107966 140064 161949 186752 215932 280128 323898 431864 560256 647796 863728 1295592 1727456 2591184 3454912 5182368 6909824 10364736 20729472