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20916672 = 263779197
BaseRepresentation
bin100111111001…
…0100111000000
31110100200021120
41033302213000
520323313142
62024152240
7342534360
oct117624700
943320246
1020916672
1110897007
127008680
13444473a
142ac69a0
151c827ec
hex13f29c0

20916672 has 112 divisors (see below), whose sum is σ = 64373760. Its totient is φ = 5870592.

The previous prime is 20916589. The next prime is 20916673. The reversal of 20916672 is 27661902.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20916673) 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, 106078 + ... + 106274.

Almost surely, 220916672 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 20916672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32186880).

20916672 is an abundant number, since it is smaller than the sum of its proper divisors (43457088).

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

20916672 is a wasteful number, since it uses less digits than its factorization.

20916672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 20916672 is about 4573.4748277431. The cubic root of 20916672 is about 275.5270202077.

The spelling of 20916672 in words is "twenty million, nine hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 158 168 192 197 224 237 316 336 394 448 474 553 591 632 672 788 948 1106 1182 1264 1344 1379 1576 1659 1896 2212 2364 2528 2758 3152 3318 3792 4137 4424 4728 5056 5516 6304 6636 7584 8274 8848 9456 11032 12608 13272 15168 15563 16548 17696 18912 22064 26544 31126 33096 35392 37824 44128 46689 53088 62252 66192 88256 93378 106176 108941 124504 132384 186756 217882 249008 264768 326823 373512 435764 498016 653646 747024 871528 996032 1307292 1494048 1743056 2614584 2988096 3486112 5229168 6972224 10458336 20916672