Search a number
-
+
20960500 = 22531137103
BaseRepresentation
bin100111111110…
…1010011110100
31110102220101211
41033331103310
520331214000
62025131204
7343106221
oct117752364
943386354
1020960500
1110916a30
127029b04
13445b682
142ad8948
151c907ba
hex13fd4f4

20960500 has 96 divisors (see below), whose sum is σ = 51787008. Its totient is φ = 7344000.

The previous prime is 20960497. The next prime is 20960501. The reversal of 20960500 is 506902.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20960501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203449 + ... + 203551.

It is an arithmetic number, because the mean of its divisors is an integer number (539448).

Almost surely, 220960500 is an apocalyptic number.

20960500 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 20960500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25893504).

20960500 is an abundant number, since it is smaller than the sum of its proper divisors (30826508).

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

20960500 is a wasteful number, since it uses less digits than its factorization.

20960500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 20960500 is about 4578.2638630817. The cubic root of 20960500 is about 275.7193289022.

The spelling of 20960500 in words is "twenty million, nine hundred sixty thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 103 110 125 148 185 206 220 250 275 370 407 412 500 515 550 740 814 925 1030 1100 1133 1375 1628 1850 2035 2060 2266 2575 2750 3700 3811 4070 4532 4625 5150 5500 5665 7622 8140 9250 10175 10300 11330 12875 15244 18500 19055 20350 22660 25750 28325 38110 40700 41921 50875 51500 56650 76220 83842 95275 101750 113300 141625 167684 190550 203500 209605 283250 381100 419210 476375 566500 838420 952750 1048025 1905500 2096050 4192100 5240125 10480250 20960500