Search a number
-
+
20907540 = 22325412833
BaseRepresentation
bin100111111000…
…0011000010100
31110100012202100
41033300120110
520323020130
62024042100
7342465633
oct117603024
943305670
1020907540
1110890165
127003330
134440534
142ac351a
151c7ec60
hex13f0614

20907540 has 72 divisors (see below), whose sum is σ = 64989288. Its totient is φ = 5437440.

The previous prime is 20907517. The next prime is 20907571. The reversal of 20907540 is 4570902.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 20903184 = 66^2 + 4572^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5964 + ... + 8796.

It is an arithmetic number, because the mean of its divisors is an integer number (902629).

Almost surely, 220907540 is an apocalyptic number.

20907540 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 20907540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32494644).

20907540 is an abundant number, since it is smaller than the sum of its proper divisors (44081748).

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

20907540 is a wasteful number, since it uses less digits than its factorization.

20907540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 20907540 is about 4572.4763531373. The cubic root of 20907540 is about 275.4869169668.

The spelling of 20907540 in words is "twenty million, nine hundred seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 2833 3690 5666 7380 8499 11332 14165 16998 25497 28330 33996 42495 50994 56660 84990 101988 116153 127485 169980 232306 254970 348459 464612 509940 580765 696918 1045377 1161530 1393836 1742295 2090754 2323060 3484590 4181508 5226885 6969180 10453770 20907540