Search a number
-
+
20992960 = 265172227
BaseRepresentation
bin101000000010…
…1001111000000
31110111112221001
41100011033000
520333233320
62025541344
7343302652
oct120051700
943445831
1020992960
111093935a
127044854
134470391
142b066d2
151c9a20a
hex14053c0

20992960 has 84 divisors (see below), whose sum is σ = 53336952. Its totient is φ = 7868416.

The previous prime is 20992927. The next prime is 20992969. The reversal of 20992960 is 6929902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20992969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92367 + ... + 92593.

Almost surely, 220992960 is an apocalyptic number.

20992960 is a gapful number since it is divisible by the number (20) 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 20992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26668476).

20992960 is an abundant number, since it is smaller than the sum of its proper divisors (32343992).

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

20992960 is a wasteful number, since it uses less digits than its factorization.

20992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 20992960 is about 4581.8075035951. The cubic root of 20992960 is about 275.8615843095.

It can be divided in two parts, 20992 and 960, that added together give a cube (21952 = 283).

The spelling of 20992960 in words is "twenty million, nine hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 227 272 289 320 340 454 544 578 680 908 1088 1135 1156 1360 1445 1816 2270 2312 2720 2890 3632 3859 4540 4624 5440 5780 7264 7718 9080 9248 11560 14528 15436 18160 18496 19295 23120 30872 36320 38590 46240 61744 65603 72640 77180 92480 123488 131206 154360 246976 262412 308720 328015 524824 617440 656030 1049648 1234880 1312060 2099296 2624120 4198592 5248240 10496480 20992960