Search a number
-
+
20920416 = 2531121801
BaseRepresentation
bin100111111001…
…1100001100000
31110100212102020
41033303201200
520323423131
62024221440
7342551316
oct117634140
943325366
1020920416
1110899900
12700a880
13444635a
142ac80b6
151c83996
hex13f3860

20920416 has 72 divisors (see below), whose sum is σ = 60395832. Its totient is φ = 6336000.

The previous prime is 20920411. The next prime is 20920441. The reversal of 20920416 is 61402902.

It is a super-2 number, since 2×209204162 = 875327611226112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20920411) 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, 10716 + ... + 12516.

It is an arithmetic number, because the mean of its divisors is an integer number (838831).

Almost surely, 220920416 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 20920416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30197916).

20920416 is an abundant number, since it is smaller than the sum of its proper divisors (39475416).

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

20920416 is a wasteful number, since it uses less digits than its factorization.

20920416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20920416 is about 4573.8841262105. The cubic root of 20920416 is about 275.5434586357.

The spelling of 20920416 in words is "twenty million, nine hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1801 1936 2904 3602 3872 5403 5808 7204 10806 11616 14408 19811 21612 28816 39622 43224 57632 59433 79244 86448 118866 158488 172896 217921 237732 316976 435842 475464 633952 653763 871684 950928 1307526 1743368 1901856 2615052 3486736 5230104 6973472 10460208 20920416