Search a number
-
+
20153540 = 22511101907
BaseRepresentation
bin100110011100…
…0010011000100
31101220220110102
41030320103010
520124403130
61555543232
7333205451
oct114702304
941826412
1020153540
1110415720
1268bab18
134238294
142968828
151b81645
hex13384c4

20153540 has 48 divisors (see below), whose sum is σ = 46678464. Its totient is φ = 7248000.

The previous prime is 20153531. The next prime is 20153561. The reversal of 20153540 is 4535102.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 21767 + ... + 22673.

It is an arithmetic number, because the mean of its divisors is an integer number (972468).

Almost surely, 220153540 is an apocalyptic number.

20153540 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 20153540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23339232).

20153540 is an abundant number, since it is smaller than the sum of its proper divisors (26524924).

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

20153540 is a wasteful number, since it uses less digits than its factorization.

20153540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 20153540 is about 4489.2694283146. The cubic root of 20153540 is about 272.1346111389.

Adding to 20153540 its reverse (4535102), we get a palindrome (24688642).

It can be divided in two parts, 2015 and 3540, that added together give a palindrome (5555).

The spelling of 20153540 in words is "twenty million, one hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 907 1010 1111 1814 2020 2222 3628 4444 4535 5555 9070 9977 11110 18140 19954 22220 39908 49885 91607 99770 183214 199540 366428 458035 916070 1007677 1832140 2015354 4030708 5038385 10076770 20153540