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20877472 = 2571137229
BaseRepresentation
bin100111110100…
…1000010100000
31110021200111201
41033221002200
520321034342
62023250544
7342312160
oct117510240
943250451
1020877472
111086a610
126ba9a54
13442c945
142ab65a0
151c75db7
hex13e90a0

20877472 has 96 divisors (see below), whose sum is σ = 52859520. Its totient is φ = 7879680.

The previous prime is 20877449. The next prime is 20877481. The reversal of 20877472 is 27477802.

It is a super-2 number, since 2×208774722 = 871737674221568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91054 + ... + 91282.

It is an arithmetic number, because the mean of its divisors is an integer number (550620).

Almost surely, 220877472 is an apocalyptic number.

20877472 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 20877472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26429760).

20877472 is an abundant number, since it is smaller than the sum of its proper divisors (31982048).

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

20877472 is a wasteful number, since it uses less digits than its factorization.

20877472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 20877472 is about 4569.1872362599. The cubic root of 20877472 is about 275.3547905559.

It can be divided in two parts, 2087 and 7472, that added together give a palindrome (9559).

The spelling of 20877472 in words is "twenty million, eight hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 112 148 154 176 224 229 259 296 308 352 407 458 518 592 616 814 916 1036 1184 1232 1603 1628 1832 2072 2464 2519 2849 3206 3256 3664 4144 5038 5698 6412 6512 7328 8288 8473 10076 11396 12824 13024 16946 17633 20152 22792 25648 33892 35266 40304 45584 51296 59311 67784 70532 80608 91168 93203 118622 135568 141064 186406 237244 271136 282128 372812 474488 564256 652421 745624 948976 1304842 1491248 1897952 2609684 2982496 5219368 10438736 20877472