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20871312 = 2437115647
BaseRepresentation
bin100111110011…
…1100010010000
31110021101001120
41033213202100
520320340222
62023202240
7342255210
oct117474220
943241046
1020871312
1110865a20
126ba6380
134429bb7
142ab4240
151c7415c
hex13e7890

20871312 has 80 divisors (see below), whose sum is σ = 67233792. Its totient is φ = 5420160.

The previous prime is 20871311. The next prime is 20871341. The reversal of 20871312 is 21317802.

It is a super-2 number, since 2×208713122 = 871223329202688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20871311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873 + ... + 6519.

Almost surely, 220871312 is an apocalyptic number.

20871312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20871312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33616896).

20871312 is an abundant number, since it is smaller than the sum of its proper divisors (46362480).

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

20871312 is a wasteful number, since it uses less digits than its factorization.

20871312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 20871312 is about 4568.5131060335. The cubic root of 20871312 is about 275.3277063003.

The spelling of 20871312 in words is "twenty million, eight hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 5647 11294 16941 22588 33882 39529 45176 62117 67764 79058 90352 118587 124234 135528 158116 186351 237174 248468 271056 316232 372702 434819 474348 496936 632464 745404 869638 948696 993872 1304457 1490808 1739276 1897392 2608914 2981616 3478552 5217828 6957104 10435656 20871312